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Finding the Fourth Proportional to 2,203.90, 3,041.52 and 1,456.55

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Solution

The fourth proportional to 2,203.90, 3,041.52 and 1,456.55 is: 2,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.90 : 3,041.52 = 1,456.55 : x
  2. Step 2: Convert to fraction form
    2,203.90/3,041.52 = 1,456.55/x
  3. Step 3: Cross multiply
    2,203.90x = 3,041.52 × 1,456.55
  4. Step 4: Simplify right side
    2,203.90x = 4,430,127.62
  5. Step 5: Solve for x
    x = 4,430,127.62/2,203.90
  6. Step 6: Final answer
    x = 2,010.13

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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.