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Finding the Fourth Proportional to 2,349.07, 3,521.44 and 887.11

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Solution

The fourth proportional to 2,349.07, 3,521.44 and 887.11 is: 1,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.07 : 3,521.44 = 887.11 : x
  2. Step 2: Convert to fraction form
    2,349.07/3,521.44 = 887.11/x
  3. Step 3: Cross multiply
    2,349.07x = 3,521.44 × 887.11
  4. Step 4: Simplify right side
    2,349.07x = 3,123,904.64
  5. Step 5: Solve for x
    x = 3,123,904.64/2,349.07
  6. Step 6: Final answer
    x = 1,329.85

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Why These Related Problems?

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