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Finding the Fourth Proportional to 2,203.17, 3,040.47 and 1,259.13

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Solution

The fourth proportional to 2,203.17, 3,040.47 and 1,259.13 is: 1,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.17 : 3,040.47 = 1,259.13 : x
  2. Step 2: Convert to fraction form
    2,203.17/3,040.47 = 1,259.13/x
  3. Step 3: Cross multiply
    2,203.17x = 3,040.47 × 1,259.13
  4. Step 4: Simplify right side
    2,203.17x = 3,828,346.99
  5. Step 5: Solve for x
    x = 3,828,346.99/2,203.17
  6. Step 6: Final answer
    x = 1,737.65

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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.