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Finding the Fourth Proportional to 2,980.95, 4,471.47 and 1,132.92

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Solution

The fourth proportional to 2,980.95, 4,471.47 and 1,132.92 is: 1,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.95 : 4,471.47 = 1,132.92 : x
  2. Step 2: Convert to fraction form
    2,980.95/4,471.47 = 1,132.92/x
  3. Step 3: Cross multiply
    2,980.95x = 4,471.47 × 1,132.92
  4. Step 4: Simplify right side
    2,980.95x = 5,065,817.79
  5. Step 5: Solve for x
    x = 5,065,817.79/2,980.95
  6. Step 6: Final answer
    x = 1,699.40

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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.