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Finding the Fourth Proportional to 2,980.48, 4,471.12 and 1,032.84

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Solution

The fourth proportional to 2,980.48, 4,471.12 and 1,032.84 is: 1,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.48 : 4,471.12 = 1,032.84 : x
  2. Step 2: Convert to fraction form
    2,980.48/4,471.12 = 1,032.84/x
  3. Step 3: Cross multiply
    2,980.48x = 4,471.12 × 1,032.84
  4. Step 4: Simplify right side
    2,980.48x = 4,617,951.58
  5. Step 5: Solve for x
    x = 4,617,951.58/2,980.48
  6. Step 6: Final answer
    x = 1,549.40

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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.