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Finding the Fourth Proportional to 3,061.09, 4,591.98 and 980.61

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Solution

The fourth proportional to 3,061.09, 4,591.98 and 980.61 is: 1,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.09 : 4,591.98 = 980.61 : x
  2. Step 2: Convert to fraction form
    3,061.09/4,591.98 = 980.61/x
  3. Step 3: Cross multiply
    3,061.09x = 4,591.98 × 980.61
  4. Step 4: Simplify right side
    3,061.09x = 4,502,941.51
  5. Step 5: Solve for x
    x = 4,502,941.51/3,061.09
  6. Step 6: Final answer
    x = 1,471.03

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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.