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Finding the Fourth Proportional to 2,980.47, 4,470.75 and 1,032.72

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Solution

The fourth proportional to 2,980.47, 4,470.75 and 1,032.72 is: 1,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.47 : 4,470.75 = 1,032.72 : x
  2. Step 2: Convert to fraction form
    2,980.47/4,470.75 = 1,032.72/x
  3. Step 3: Cross multiply
    2,980.47x = 4,470.75 × 1,032.72
  4. Step 4: Simplify right side
    2,980.47x = 4,617,032.94
  5. Step 5: Solve for x
    x = 4,617,032.94/2,980.47
  6. Step 6: Final answer
    x = 1,549.10

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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.