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Finding the Fourth Proportional to 2,312.50, 3,191.25 and 1,264.57

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Solution

The fourth proportional to 2,312.50, 3,191.25 and 1,264.57 is: 1,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.50 : 3,191.25 = 1,264.57 : x
  2. Step 2: Convert to fraction form
    2,312.50/3,191.25 = 1,264.57/x
  3. Step 3: Cross multiply
    2,312.50x = 3,191.25 × 1,264.57
  4. Step 4: Simplify right side
    2,312.50x = 4,035,559.01
  5. Step 5: Solve for x
    x = 4,035,559.01/2,312.50
  6. Step 6: Final answer
    x = 1,745.11

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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.