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Finding the Fourth Proportional to 2,969.47, 4,454.52 and 1,021.24

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Solution

The fourth proportional to 2,969.47, 4,454.52 and 1,021.24 is: 1,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.47 : 4,454.52 = 1,021.24 : x
  2. Step 2: Convert to fraction form
    2,969.47/4,454.52 = 1,021.24/x
  3. Step 3: Cross multiply
    2,969.47x = 4,454.52 × 1,021.24
  4. Step 4: Simplify right side
    2,969.47x = 4,549,134.00
  5. Step 5: Solve for x
    x = 4,549,134.00/2,969.47
  6. Step 6: Final answer
    x = 1,531.97

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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.