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Finding the Fourth Proportional to 1,587.99, 2,191.43 and 925.29

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Solution

The fourth proportional to 1,587.99, 2,191.43 and 925.29 is: 1,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.99 : 2,191.43 = 925.29 : x
  2. Step 2: Convert to fraction form
    1,587.99/2,191.43 = 925.29/x
  3. Step 3: Cross multiply
    1,587.99x = 2,191.43 × 925.29
  4. Step 4: Simplify right side
    1,587.99x = 2,027,703.64
  5. Step 5: Solve for x
    x = 2,027,703.64/1,587.99
  6. Step 6: Final answer
    x = 1,276.90

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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.