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Finding the Fourth Proportional to 2,347.58, 3,523.70 and 1,760.54

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Solution

The fourth proportional to 2,347.58, 3,523.70 and 1,760.54 is: 2,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.58 : 3,523.70 = 1,760.54 : x
  2. Step 2: Convert to fraction form
    2,347.58/3,523.70 = 1,760.54/x
  3. Step 3: Cross multiply
    2,347.58x = 3,523.70 × 1,760.54
  4. Step 4: Simplify right side
    2,347.58x = 6,203,601.58
  5. Step 5: Solve for x
    x = 6,203,601.58/2,347.58
  6. Step 6: Final answer
    x = 2,642.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.