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Finding the Fourth Proportional to 2,980.65, 4,471.78 and 1,032.86

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Solution

The fourth proportional to 2,980.65, 4,471.78 and 1,032.86 is: 1,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.65 : 4,471.78 = 1,032.86 : x
  2. Step 2: Convert to fraction form
    2,980.65/4,471.78 = 1,032.86/x
  3. Step 3: Cross multiply
    2,980.65x = 4,471.78 × 1,032.86
  4. Step 4: Simplify right side
    2,980.65x = 4,618,705.17
  5. Step 5: Solve for x
    x = 4,618,705.17/2,980.65
  6. Step 6: Final answer
    x = 1,549.56

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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.