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Finding the Fourth Proportional to 1,711.03, 2,360.96 and 1,002.82

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Solution

The fourth proportional to 1,711.03, 2,360.96 and 1,002.82 is: 1,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.03 : 2,360.96 = 1,002.82 : x
  2. Step 2: Convert to fraction form
    1,711.03/2,360.96 = 1,002.82/x
  3. Step 3: Cross multiply
    1,711.03x = 2,360.96 × 1,002.82
  4. Step 4: Simplify right side
    1,711.03x = 2,367,617.91
  5. Step 5: Solve for x
    x = 2,367,617.91/1,711.03
  6. Step 6: Final answer
    x = 1,383.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.