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Finding the Fourth Proportional to 1,612.47, 2,420.19 and 997.38

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Solution

The fourth proportional to 1,612.47, 2,420.19 and 997.38 is: 1,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.47 : 2,420.19 = 997.38 : x
  2. Step 2: Convert to fraction form
    1,612.47/2,420.19 = 997.38/x
  3. Step 3: Cross multiply
    1,612.47x = 2,420.19 × 997.38
  4. Step 4: Simplify right side
    1,612.47x = 2,413,849.10
  5. Step 5: Solve for x
    x = 2,413,849.10/1,612.47
  6. Step 6: Final answer
    x = 1,496.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.