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Finding the Fourth Proportional to 2,259.41, 3,117.65 and 1,264.66

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Solution

The fourth proportional to 2,259.41, 3,117.65 and 1,264.66 is: 1,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.41 : 3,117.65 = 1,264.66 : x
  2. Step 2: Convert to fraction form
    2,259.41/3,117.65 = 1,264.66/x
  3. Step 3: Cross multiply
    2,259.41x = 3,117.65 × 1,264.66
  4. Step 4: Simplify right side
    2,259.41x = 3,942,753.13
  5. Step 5: Solve for x
    x = 3,942,753.13/2,259.41
  6. Step 6: Final answer
    x = 1,745.04

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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.