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Finding the Fourth Proportional to 2,347.76, 3,521.10 and 886.52

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Solution

The fourth proportional to 2,347.76, 3,521.10 and 886.52 is: 1,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.76 : 3,521.10 = 886.52 : x
  2. Step 2: Convert to fraction form
    2,347.76/3,521.10 = 886.52/x
  3. Step 3: Cross multiply
    2,347.76x = 3,521.10 × 886.52
  4. Step 4: Simplify right side
    2,347.76x = 3,121,525.57
  5. Step 5: Solve for x
    x = 3,121,525.57/2,347.76
  6. Step 6: Final answer
    x = 1,329.58

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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.