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Finding the Fourth Proportional to 2,364.57, 3,263.10 and 1,316.88

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Solution

The fourth proportional to 2,364.57, 3,263.10 and 1,316.88 is: 1,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.57 : 3,263.10 = 1,316.88 : x
  2. Step 2: Convert to fraction form
    2,364.57/3,263.10 = 1,316.88/x
  3. Step 3: Cross multiply
    2,364.57x = 3,263.10 × 1,316.88
  4. Step 4: Simplify right side
    2,364.57x = 4,297,088.23
  5. Step 5: Solve for x
    x = 4,297,088.23/2,364.57
  6. Step 6: Final answer
    x = 1,817.28

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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.