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Finding the Fourth Proportional to 1,237.24, 1,855.66 and 371.40

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Solution

The fourth proportional to 1,237.24, 1,855.66 and 371.40 is: 557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.24 : 1,855.66 = 371.40 : x
  2. Step 2: Convert to fraction form
    1,237.24/1,855.66 = 371.40/x
  3. Step 3: Cross multiply
    1,237.24x = 1,855.66 × 371.40
  4. Step 4: Simplify right side
    1,237.24x = 689,192.12
  5. Step 5: Solve for x
    x = 689,192.12/1,237.24
  6. Step 6: Final answer
    x = 557.04

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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.