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Finding the Fourth Proportional to 1,849.59, 2,552.85 and 1,261.53

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Solution

The fourth proportional to 1,849.59, 2,552.85 and 1,261.53 is: 1,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.59 : 2,552.85 = 1,261.53 : x
  2. Step 2: Convert to fraction form
    1,849.59/2,552.85 = 1,261.53/x
  3. Step 3: Cross multiply
    1,849.59x = 2,552.85 × 1,261.53
  4. Step 4: Simplify right side
    1,849.59x = 3,220,496.86
  5. Step 5: Solve for x
    x = 3,220,496.86/1,849.59
  6. Step 6: Final answer
    x = 1,741.20

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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.