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Finding the Fourth Proportional to 2,329.76, 3,494.64 and 869.06

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Solution

The fourth proportional to 2,329.76, 3,494.64 and 869.06 is: 1,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.76 : 3,494.64 = 869.06 : x
  2. Step 2: Convert to fraction form
    2,329.76/3,494.64 = 869.06/x
  3. Step 3: Cross multiply
    2,329.76x = 3,494.64 × 869.06
  4. Step 4: Simplify right side
    2,329.76x = 3,037,063.83
  5. Step 5: Solve for x
    x = 3,037,063.83/2,329.76
  6. Step 6: Final answer
    x = 1,303.59

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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.