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Finding the Fourth Proportional to 2,259.64, 3,117.67 and 1,375.44

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Solution

The fourth proportional to 2,259.64, 3,117.67 and 1,375.44 is: 1,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.64 : 3,117.67 = 1,375.44 : x
  2. Step 2: Convert to fraction form
    2,259.64/3,117.67 = 1,375.44/x
  3. Step 3: Cross multiply
    2,259.64x = 3,117.67 × 1,375.44
  4. Step 4: Simplify right side
    2,259.64x = 4,288,168.02
  5. Step 5: Solve for x
    x = 4,288,168.02/2,259.64
  6. Step 6: Final answer
    x = 1,897.72

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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.