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Finding the Fourth Proportional to 1,874.72, 2,587.10 and 1,035.41

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Solution

The fourth proportional to 1,874.72, 2,587.10 and 1,035.41 is: 1,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.72 : 2,587.10 = 1,035.41 : x
  2. Step 2: Convert to fraction form
    1,874.72/2,587.10 = 1,035.41/x
  3. Step 3: Cross multiply
    1,874.72x = 2,587.10 × 1,035.41
  4. Step 4: Simplify right side
    1,874.72x = 2,678,713.09
  5. Step 5: Solve for x
    x = 2,678,713.09/1,874.72
  6. Step 6: Final answer
    x = 1,428.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.