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Finding the Fourth Proportional to 2,312.15, 3,468.52 and 668.71

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Solution

The fourth proportional to 2,312.15, 3,468.52 and 668.71 is: 1,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.15 : 3,468.52 = 668.71 : x
  2. Step 2: Convert to fraction form
    2,312.15/3,468.52 = 668.71/x
  3. Step 3: Cross multiply
    2,312.15x = 3,468.52 × 668.71
  4. Step 4: Simplify right side
    2,312.15x = 2,319,419.67
  5. Step 5: Solve for x
    x = 2,319,419.67/2,312.15
  6. Step 6: Final answer
    x = 1,003.15

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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.