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Finding the Fourth Proportional to 1,659.81, 2,488.08 and 735.87

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Solution

The fourth proportional to 1,659.81, 2,488.08 and 735.87 is: 1,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.81 : 2,488.08 = 735.87 : x
  2. Step 2: Convert to fraction form
    1,659.81/2,488.08 = 735.87/x
  3. Step 3: Cross multiply
    1,659.81x = 2,488.08 × 735.87
  4. Step 4: Simplify right side
    1,659.81x = 1,830,903.43
  5. Step 5: Solve for x
    x = 1,830,903.43/1,659.81
  6. Step 6: Final answer
    x = 1,103.08

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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.