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Finding the Fourth Proportional to 2,312.86, 3,191.39 and 1,304.52

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Solution

The fourth proportional to 2,312.86, 3,191.39 and 1,304.52 is: 1,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.86 : 3,191.39 = 1,304.52 : x
  2. Step 2: Convert to fraction form
    2,312.86/3,191.39 = 1,304.52/x
  3. Step 3: Cross multiply
    2,312.86x = 3,191.39 × 1,304.52
  4. Step 4: Simplify right side
    2,312.86x = 4,163,232.08
  5. Step 5: Solve for x
    x = 4,163,232.08/2,312.86
  6. Step 6: Final answer
    x = 1,800.04

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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.