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Finding the Fourth Proportional to 2,312.41, 3,191.07 and 1,264.45

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Solution

The fourth proportional to 2,312.41, 3,191.07 and 1,264.45 is: 1,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.41 : 3,191.07 = 1,264.45 : x
  2. Step 2: Convert to fraction form
    2,312.41/3,191.07 = 1,264.45/x
  3. Step 3: Cross multiply
    2,312.41x = 3,191.07 × 1,264.45
  4. Step 4: Simplify right side
    2,312.41x = 4,034,948.46
  5. Step 5: Solve for x
    x = 4,034,948.46/2,312.41
  6. Step 6: Final answer
    x = 1,744.91

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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.