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Finding the Fourth Proportional to 2,828.52, 4,220.10 and 2,412.90

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Solution

The fourth proportional to 2,828.52, 4,220.10 and 2,412.90 is: 3,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.52 : 4,220.10 = 2,412.90 : x
  2. Step 2: Convert to fraction form
    2,828.52/4,220.10 = 2,412.90/x
  3. Step 3: Cross multiply
    2,828.52x = 4,220.10 × 2,412.90
  4. Step 4: Simplify right side
    2,828.52x = 10,182,679.29
  5. Step 5: Solve for x
    x = 10,182,679.29/2,828.52
  6. Step 6: Final answer
    x = 3,600.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.