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Finding the Fourth Proportional to 1,874.92, 2,587.34 and 1,035.58

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Solution

The fourth proportional to 1,874.92, 2,587.34 and 1,035.58 is: 1,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.92 : 2,587.34 = 1,035.58 : x
  2. Step 2: Convert to fraction form
    1,874.92/2,587.34 = 1,035.58/x
  3. Step 3: Cross multiply
    1,874.92x = 2,587.34 × 1,035.58
  4. Step 4: Simplify right side
    1,874.92x = 2,679,397.56
  5. Step 5: Solve for x
    x = 2,679,397.56/1,874.92
  6. Step 6: Final answer
    x = 1,429.07

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1.5x scale

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.