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Finding the Fourth Proportional to 2,402.66, 3,603.69 and 842.55

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Solution

The fourth proportional to 2,402.66, 3,603.69 and 842.55 is: 1,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.66 : 3,603.69 = 842.55 : x
  2. Step 2: Convert to fraction form
    2,402.66/3,603.69 = 842.55/x
  3. Step 3: Cross multiply
    2,402.66x = 3,603.69 × 842.55
  4. Step 4: Simplify right side
    2,402.66x = 3,036,295.77
  5. Step 5: Solve for x
    x = 3,036,295.77/2,402.66
  6. Step 6: Final answer
    x = 1,263.72

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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.