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Finding the Fourth Proportional to 1,723.64, 2,585.28 and 749

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Solution

The fourth proportional to 1,723.64, 2,585.28 and 749 is: 1,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.64 : 2,585.28 = 749 : x
  2. Step 2: Convert to fraction form
    1,723.64/2,585.28 = 749/x
  3. Step 3: Cross multiply
    1,723.64x = 2,585.28 × 749
  4. Step 4: Simplify right side
    1,723.64x = 1,936,374.72
  5. Step 5: Solve for x
    x = 1,936,374.72/1,723.64
  6. Step 6: Final answer
    x = 1,123.42

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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.