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Finding the Fourth Proportional to 2,269.88, 3,132.57 and 1,275

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Solution

The fourth proportional to 2,269.88, 3,132.57 and 1,275 is: 1,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.88 : 3,132.57 = 1,275 : x
  2. Step 2: Convert to fraction form
    2,269.88/3,132.57 = 1,275/x
  3. Step 3: Cross multiply
    2,269.88x = 3,132.57 × 1,275
  4. Step 4: Simplify right side
    2,269.88x = 3,994,026.75
  5. Step 5: Solve for x
    x = 3,994,026.75/2,269.88
  6. Step 6: Final answer
    x = 1,759.58

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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.