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Finding the Fourth Proportional to 1,456.68, 2,000.43 and 1,246.86

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Solution

The fourth proportional to 1,456.68, 2,000.43 and 1,246.86 is: 1,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.68 : 2,000.43 = 1,246.86 : x
  2. Step 2: Convert to fraction form
    1,456.68/2,000.43 = 1,246.86/x
  3. Step 3: Cross multiply
    1,456.68x = 2,000.43 × 1,246.86
  4. Step 4: Simplify right side
    1,456.68x = 2,494,256.15
  5. Step 5: Solve for x
    x = 2,494,256.15/1,456.68
  6. Step 6: Final answer
    x = 1,712.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.