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Finding the Fourth Proportional to 2,338.68, 3,508.71 and 695.28

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Solution

The fourth proportional to 2,338.68, 3,508.71 and 695.28 is: 1,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.68 : 3,508.71 = 695.28 : x
  2. Step 2: Convert to fraction form
    2,338.68/3,508.71 = 695.28/x
  3. Step 3: Cross multiply
    2,338.68x = 3,508.71 × 695.28
  4. Step 4: Simplify right side
    2,338.68x = 2,439,535.89
  5. Step 5: Solve for x
    x = 2,439,535.89/2,338.68
  6. Step 6: Final answer
    x = 1,043.13

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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.