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Finding the Fourth Proportional to 2,264.64, 3,125.35 and 1,269.98

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Solution

The fourth proportional to 2,264.64, 3,125.35 and 1,269.98 is: 1,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.64 : 3,125.35 = 1,269.98 : x
  2. Step 2: Convert to fraction form
    2,264.64/3,125.35 = 1,269.98/x
  3. Step 3: Cross multiply
    2,264.64x = 3,125.35 × 1,269.98
  4. Step 4: Simplify right side
    2,264.64x = 3,969,110.02
  5. Step 5: Solve for x
    x = 3,969,110.02/2,264.64
  6. Step 6: Final answer
    x = 1,752.65

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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.