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Finding the Fourth Proportional to 1,252.38, 1,878.94 and 374.91

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Solution

The fourth proportional to 1,252.38, 1,878.94 and 374.91 is: 562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.38 : 1,878.94 = 374.91 : x
  2. Step 2: Convert to fraction form
    1,252.38/1,878.94 = 374.91/x
  3. Step 3: Cross multiply
    1,252.38x = 1,878.94 × 374.91
  4. Step 4: Simplify right side
    1,252.38x = 704,424.00
  5. Step 5: Solve for x
    x = 704,424.00/1,252.38
  6. Step 6: Final answer
    x = 562.47

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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.