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Finding the Fourth Proportional to 1,411.48, 2,117.33 and 371.47

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Solution

The fourth proportional to 1,411.48, 2,117.33 and 371.47 is: 557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.48 : 2,117.33 = 371.47 : x
  2. Step 2: Convert to fraction form
    1,411.48/2,117.33 = 371.47/x
  3. Step 3: Cross multiply
    1,411.48x = 2,117.33 × 371.47
  4. Step 4: Simplify right side
    1,411.48x = 786,524.88
  5. Step 5: Solve for x
    x = 786,524.88/1,411.48
  6. Step 6: Final answer
    x = 557.24

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