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Finding the Fourth Proportional to 2,312.40, 3,191.06 and 1,264.44

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Solution

The fourth proportional to 2,312.40, 3,191.06 and 1,264.44 is: 1,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.40 : 3,191.06 = 1,264.44 : x
  2. Step 2: Convert to fraction form
    2,312.40/3,191.06 = 1,264.44/x
  3. Step 3: Cross multiply
    2,312.40x = 3,191.06 × 1,264.44
  4. Step 4: Simplify right side
    2,312.40x = 4,034,903.91
  5. Step 5: Solve for x
    x = 4,034,903.91/2,312.40
  6. Step 6: Final answer
    x = 1,744.90

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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.