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Finding the Fourth Proportional to 2,204.90, 3,042.90 and 1,457.55

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Solution

The fourth proportional to 2,204.90, 3,042.90 and 1,457.55 is: 2,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.90 : 3,042.90 = 1,457.55 : x
  2. Step 2: Convert to fraction form
    2,204.90/3,042.90 = 1,457.55/x
  3. Step 3: Cross multiply
    2,204.90x = 3,042.90 × 1,457.55
  4. Step 4: Simplify right side
    2,204.90x = 4,435,178.90
  5. Step 5: Solve for x
    x = 4,435,178.90/2,204.90
  6. Step 6: Final answer
    x = 2,011.51

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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.