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Finding the Fourth Proportional to 2,073.60, 3,110.54 and 979.02

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Solution

The fourth proportional to 2,073.60, 3,110.54 and 979.02 is: 1,468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.60 : 3,110.54 = 979.02 : x
  2. Step 2: Convert to fraction form
    2,073.60/3,110.54 = 979.02/x
  3. Step 3: Cross multiply
    2,073.60x = 3,110.54 × 979.02
  4. Step 4: Simplify right side
    2,073.60x = 3,045,275.98
  5. Step 5: Solve for x
    x = 3,045,275.98/2,073.60
  6. Step 6: Final answer
    x = 1,468.59

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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.