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Finding the Fourth Proportional to 1,684.62, 2,325.06 and 1,012.23

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Solution

The fourth proportional to 1,684.62, 2,325.06 and 1,012.23 is: 1,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.62 : 2,325.06 = 1,012.23 : x
  2. Step 2: Convert to fraction form
    1,684.62/2,325.06 = 1,012.23/x
  3. Step 3: Cross multiply
    1,684.62x = 2,325.06 × 1,012.23
  4. Step 4: Simplify right side
    1,684.62x = 2,353,495.48
  5. Step 5: Solve for x
    x = 2,353,495.48/1,684.62
  6. Step 6: Final answer
    x = 1,397.05

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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.