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Finding the Fourth Proportional to 2,384.96, 3,598.46 and 2,365.52

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Solution

The fourth proportional to 2,384.96, 3,598.46 and 2,365.52 is: 3,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.96 : 3,598.46 = 2,365.52 : x
  2. Step 2: Convert to fraction form
    2,384.96/3,598.46 = 2,365.52/x
  3. Step 3: Cross multiply
    2,384.96x = 3,598.46 × 2,365.52
  4. Step 4: Simplify right side
    2,384.96x = 8,512,229.10
  5. Step 5: Solve for x
    x = 8,512,229.10/2,384.96
  6. Step 6: Final answer
    x = 3,569.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.