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Finding the Fourth Proportional to 1,681, 2,318.03 and 1,017.61

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Solution

The fourth proportional to 1,681, 2,318.03 and 1,017.61 is: 1,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681 : 2,318.03 = 1,017.61 : x
  2. Step 2: Convert to fraction form
    1,681/2,318.03 = 1,017.61/x
  3. Step 3: Cross multiply
    1,681x = 2,318.03 × 1,017.61
  4. Step 4: Simplify right side
    1,681x = 2,358,845.42
  5. Step 5: Solve for x
    x = 2,358,845.42/1,681
  6. Step 6: Final answer
    x = 1,403.24

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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.