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Finding the Fourth Proportional to 2,259.57, 3,117.85 and 1,264.89

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Solution

The fourth proportional to 2,259.57, 3,117.85 and 1,264.89 is: 1,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.57 : 3,117.85 = 1,264.89 : x
  2. Step 2: Convert to fraction form
    2,259.57/3,117.85 = 1,264.89/x
  3. Step 3: Cross multiply
    2,259.57x = 3,117.85 × 1,264.89
  4. Step 4: Simplify right side
    2,259.57x = 3,943,734.12
  5. Step 5: Solve for x
    x = 3,943,734.12/2,259.57
  6. Step 6: Final answer
    x = 1,745.35

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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.