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Finding the Fourth Proportional to 2,101.80, 2,902.86 and 1,572.60

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Solution

The fourth proportional to 2,101.80, 2,902.86 and 1,572.60 is: 2,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.80 : 2,902.86 = 1,572.60 : x
  2. Step 2: Convert to fraction form
    2,101.80/2,902.86 = 1,572.60/x
  3. Step 3: Cross multiply
    2,101.80x = 2,902.86 × 1,572.60
  4. Step 4: Simplify right side
    2,101.80x = 4,565,037.64
  5. Step 5: Solve for x
    x = 4,565,037.64/2,101.80
  6. Step 6: Final answer
    x = 2,171.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.