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Finding the Fourth Proportional to 1,874.79, 2,587.14 and 1,035.47

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Solution

The fourth proportional to 1,874.79, 2,587.14 and 1,035.47 is: 1,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.79 : 2,587.14 = 1,035.47 : x
  2. Step 2: Convert to fraction form
    1,874.79/2,587.14 = 1,035.47/x
  3. Step 3: Cross multiply
    1,874.79x = 2,587.14 × 1,035.47
  4. Step 4: Simplify right side
    1,874.79x = 2,678,908.44
  5. Step 5: Solve for x
    x = 2,678,908.44/1,874.79
  6. Step 6: Final answer
    x = 1,428.91

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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.