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Finding the Fourth Proportional to 1,587.84, 2,190 and 1,027.92

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Solution

The fourth proportional to 1,587.84, 2,190 and 1,027.92 is: 1,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.84 : 2,190 = 1,027.92 : x
  2. Step 2: Convert to fraction form
    1,587.84/2,190 = 1,027.92/x
  3. Step 3: Cross multiply
    1,587.84x = 2,190 × 1,027.92
  4. Step 4: Simplify right side
    1,587.84x = 2,251,144.80
  5. Step 5: Solve for x
    x = 2,251,144.80/1,587.84
  6. Step 6: Final answer
    x = 1,417.74

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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.