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Finding the Fourth Proportional to 2,544.64, 3,817.18 and 695.76

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Solution

The fourth proportional to 2,544.64, 3,817.18 and 695.76 is: 1,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.64 : 3,817.18 = 695.76 : x
  2. Step 2: Convert to fraction form
    2,544.64/3,817.18 = 695.76/x
  3. Step 3: Cross multiply
    2,544.64x = 3,817.18 × 695.76
  4. Step 4: Simplify right side
    2,544.64x = 2,655,842.03
  5. Step 5: Solve for x
    x = 2,655,842.03/2,544.64
  6. Step 6: Final answer
    x = 1,043.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.