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Finding the Fourth Proportional to 1,659.73, 2,488.76 and 929.11

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Solution

The fourth proportional to 1,659.73, 2,488.76 and 929.11 is: 1,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.73 : 2,488.76 = 929.11 : x
  2. Step 2: Convert to fraction form
    1,659.73/2,488.76 = 929.11/x
  3. Step 3: Cross multiply
    1,659.73x = 2,488.76 × 929.11
  4. Step 4: Simplify right side
    1,659.73x = 2,312,327.16
  5. Step 5: Solve for x
    x = 2,312,327.16/1,659.73
  6. Step 6: Final answer
    x = 1,393.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.