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Finding the Fourth Proportional to 2,329.76, 3,496.10 and 869.94

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Solution

The fourth proportional to 2,329.76, 3,496.10 and 869.94 is: 1,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.76 : 3,496.10 = 869.94 : x
  2. Step 2: Convert to fraction form
    2,329.76/3,496.10 = 869.94/x
  3. Step 3: Cross multiply
    2,329.76x = 3,496.10 × 869.94
  4. Step 4: Simplify right side
    2,329.76x = 3,041,392.88
  5. Step 5: Solve for x
    x = 3,041,392.88/2,329.76
  6. Step 6: Final answer
    x = 1,305.45

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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.