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Finding the Fourth Proportional to 2,328.84, 3,214.04 and 1,334.25

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Solution

The fourth proportional to 2,328.84, 3,214.04 and 1,334.25 is: 1,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.84 : 3,214.04 = 1,334.25 : x
  2. Step 2: Convert to fraction form
    2,328.84/3,214.04 = 1,334.25/x
  3. Step 3: Cross multiply
    2,328.84x = 3,214.04 × 1,334.25
  4. Step 4: Simplify right side
    2,328.84x = 4,288,326.20
  5. Step 5: Solve for x
    x = 4,288,326.20/2,328.84
  6. Step 6: Final answer
    x = 1,841.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.