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Finding the Fourth Proportional to 2,100.28, 3,150.14 and 713.70

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Solution

The fourth proportional to 2,100.28, 3,150.14 and 713.70 is: 1,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.28 : 3,150.14 = 713.70 : x
  2. Step 2: Convert to fraction form
    2,100.28/3,150.14 = 713.70/x
  3. Step 3: Cross multiply
    2,100.28x = 3,150.14 × 713.70
  4. Step 4: Simplify right side
    2,100.28x = 2,248,254.92
  5. Step 5: Solve for x
    x = 2,248,254.92/2,100.28
  6. Step 6: Final answer
    x = 1,070.45

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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.