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Finding the Fourth Proportional to 2,315.83, 3,473.71 and 560.82

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Solution

The fourth proportional to 2,315.83, 3,473.71 and 560.82 is: 841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.83 : 3,473.71 = 560.82 : x
  2. Step 2: Convert to fraction form
    2,315.83/3,473.71 = 560.82/x
  3. Step 3: Cross multiply
    2,315.83x = 3,473.71 × 560.82
  4. Step 4: Simplify right side
    2,315.83x = 1,948,126.04
  5. Step 5: Solve for x
    x = 1,948,126.04/2,315.83
  6. Step 6: Final answer
    x = 841.22

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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.