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Finding the Fourth Proportional to 2,869.76, 4,304 and 1,715.84

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Solution

The fourth proportional to 2,869.76, 4,304 and 1,715.84 is: 2,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.76 : 4,304 = 1,715.84 : x
  2. Step 2: Convert to fraction form
    2,869.76/4,304 = 1,715.84/x
  3. Step 3: Cross multiply
    2,869.76x = 4,304 × 1,715.84
  4. Step 4: Simplify right side
    2,869.76x = 7,384,975.36
  5. Step 5: Solve for x
    x = 7,384,975.36/2,869.76
  6. Step 6: Final answer
    x = 2,573.38

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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.