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Finding the Fourth Proportional to 1,726.72, 2,587.68 and 1,359.84

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Solution

The fourth proportional to 1,726.72, 2,587.68 and 1,359.84 is: 2,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.72 : 2,587.68 = 1,359.84 : x
  2. Step 2: Convert to fraction form
    1,726.72/2,587.68 = 1,359.84/x
  3. Step 3: Cross multiply
    1,726.72x = 2,587.68 × 1,359.84
  4. Step 4: Simplify right side
    1,726.72x = 3,518,830.77
  5. Step 5: Solve for x
    x = 3,518,830.77/1,726.72
  6. Step 6: Final answer
    x = 2,037.87

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