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Finding the Fourth Proportional to 2,329.64, 3,220.04 and 2,047.76

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Solution

The fourth proportional to 2,329.64, 3,220.04 and 2,047.76 is: 2,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.64 : 3,220.04 = 2,047.76 : x
  2. Step 2: Convert to fraction form
    2,329.64/3,220.04 = 2,047.76/x
  3. Step 3: Cross multiply
    2,329.64x = 3,220.04 × 2,047.76
  4. Step 4: Simplify right side
    2,329.64x = 6,593,869.11
  5. Step 5: Solve for x
    x = 6,593,869.11/2,329.64
  6. Step 6: Final answer
    x = 2,830.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.