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Finding the Fourth Proportional to 2,342.59, 3,232.85 and 1,347.84

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Solution

The fourth proportional to 2,342.59, 3,232.85 and 1,347.84 is: 1,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.59 : 3,232.85 = 1,347.84 : x
  2. Step 2: Convert to fraction form
    2,342.59/3,232.85 = 1,347.84/x
  3. Step 3: Cross multiply
    2,342.59x = 3,232.85 × 1,347.84
  4. Step 4: Simplify right side
    2,342.59x = 4,357,357.80
  5. Step 5: Solve for x
    x = 4,357,357.80/2,342.59
  6. Step 6: Final answer
    x = 1,860.06

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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.