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Finding the Fourth Proportional to 2,348.06, 3,521.70 and 886.86

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Solution

The fourth proportional to 2,348.06, 3,521.70 and 886.86 is: 1,330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.06 : 3,521.70 = 886.86 : x
  2. Step 2: Convert to fraction form
    2,348.06/3,521.70 = 886.86/x
  3. Step 3: Cross multiply
    2,348.06x = 3,521.70 × 886.86
  4. Step 4: Simplify right side
    2,348.06x = 3,123,254.86
  5. Step 5: Solve for x
    x = 3,123,254.86/2,348.06
  6. Step 6: Final answer
    x = 1,330.15

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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.