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Finding the Fourth Proportional to 2,601.78, 3,903.62 and 1,562.52

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Solution

The fourth proportional to 2,601.78, 3,903.62 and 1,562.52 is: 2,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.78 : 3,903.62 = 1,562.52 : x
  2. Step 2: Convert to fraction form
    2,601.78/3,903.62 = 1,562.52/x
  3. Step 3: Cross multiply
    2,601.78x = 3,903.62 × 1,562.52
  4. Step 4: Simplify right side
    2,601.78x = 6,099,484.32
  5. Step 5: Solve for x
    x = 6,099,484.32/2,601.78
  6. Step 6: Final answer
    x = 2,344.35

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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.