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Finding the Fourth Proportional to 1,411.53, 2,117.41 and 371.49

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Solution

The fourth proportional to 1,411.53, 2,117.41 and 371.49 is: 557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.53 : 2,117.41 = 371.49 : x
  2. Step 2: Convert to fraction form
    1,411.53/2,117.41 = 371.49/x
  3. Step 3: Cross multiply
    1,411.53x = 2,117.41 × 371.49
  4. Step 4: Simplify right side
    1,411.53x = 786,587.77
  5. Step 5: Solve for x
    x = 786,587.77/1,411.53
  6. Step 6: Final answer
    x = 557.26

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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.