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Finding the Fourth Proportional to 2,898.40, 4,010.16 and 2,454.88

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Solution

The fourth proportional to 2,898.40, 4,010.16 and 2,454.88 is: 3,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.40 : 4,010.16 = 2,454.88 : x
  2. Step 2: Convert to fraction form
    2,898.40/4,010.16 = 2,454.88/x
  3. Step 3: Cross multiply
    2,898.40x = 4,010.16 × 2,454.88
  4. Step 4: Simplify right side
    2,898.40x = 9,844,461.58
  5. Step 5: Solve for x
    x = 9,844,461.58/2,898.40
  6. Step 6: Final answer
    x = 3,396.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.