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Finding the Fourth Proportional to 2,312.39, 3,191.15 and 1,264.52

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Solution

The fourth proportional to 2,312.39, 3,191.15 and 1,264.52 is: 1,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.39 : 3,191.15 = 1,264.52 : x
  2. Step 2: Convert to fraction form
    2,312.39/3,191.15 = 1,264.52/x
  3. Step 3: Cross multiply
    2,312.39x = 3,191.15 × 1,264.52
  4. Step 4: Simplify right side
    2,312.39x = 4,035,266.68
  5. Step 5: Solve for x
    x = 4,035,266.68/2,312.39
  6. Step 6: Final answer
    x = 1,745.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.