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Finding the Fourth Proportional to 2,329.52, 3,493.56 and 869.36

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Solution

The fourth proportional to 2,329.52, 3,493.56 and 869.36 is: 1,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.52 : 3,493.56 = 869.36 : x
  2. Step 2: Convert to fraction form
    2,329.52/3,493.56 = 869.36/x
  3. Step 3: Cross multiply
    2,329.52x = 3,493.56 × 869.36
  4. Step 4: Simplify right side
    2,329.52x = 3,037,161.32
  5. Step 5: Solve for x
    x = 3,037,161.32/2,329.52
  6. Step 6: Final answer
    x = 1,303.77

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