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Finding the Fourth Proportional to 2,101.10, 3,151.15 and 784.98

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Solution

The fourth proportional to 2,101.10, 3,151.15 and 784.98 is: 1,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.10 : 3,151.15 = 784.98 : x
  2. Step 2: Convert to fraction form
    2,101.10/3,151.15 = 784.98/x
  3. Step 3: Cross multiply
    2,101.10x = 3,151.15 × 784.98
  4. Step 4: Simplify right side
    2,101.10x = 2,473,601.04
  5. Step 5: Solve for x
    x = 2,473,601.04/2,101.10
  6. Step 6: Final answer
    x = 1,177.29

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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.