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Finding the Fourth Proportional to 2,342.58, 3,233.10 and 1,347.90

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Solution

The fourth proportional to 2,342.58, 3,233.10 and 1,347.90 is: 1,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.58 : 3,233.10 = 1,347.90 : x
  2. Step 2: Convert to fraction form
    2,342.58/3,233.10 = 1,347.90/x
  3. Step 3: Cross multiply
    2,342.58x = 3,233.10 × 1,347.90
  4. Step 4: Simplify right side
    2,342.58x = 4,357,895.49
  5. Step 5: Solve for x
    x = 4,357,895.49/2,342.58
  6. Step 6: Final answer
    x = 1,860.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.