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Finding the Fourth Proportional to 1,874.70, 2,587.02 and 1,035.39

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Solution

The fourth proportional to 1,874.70, 2,587.02 and 1,035.39 is: 1,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.70 : 2,587.02 = 1,035.39 : x
  2. Step 2: Convert to fraction form
    1,874.70/2,587.02 = 1,035.39/x
  3. Step 3: Cross multiply
    1,874.70x = 2,587.02 × 1,035.39
  4. Step 4: Simplify right side
    1,874.70x = 2,678,574.64
  5. Step 5: Solve for x
    x = 2,678,574.64/1,874.70
  6. Step 6: Final answer
    x = 1,428.80

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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.