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Finding the Fourth Proportional to 2,002.74, 3,005.63 and 907.86

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Solution

The fourth proportional to 2,002.74, 3,005.63 and 907.86 is: 1,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.74 : 3,005.63 = 907.86 : x
  2. Step 2: Convert to fraction form
    2,002.74/3,005.63 = 907.86/x
  3. Step 3: Cross multiply
    2,002.74x = 3,005.63 × 907.86
  4. Step 4: Simplify right side
    2,002.74x = 2,728,691.25
  5. Step 5: Solve for x
    x = 2,728,691.25/2,002.74
  6. Step 6: Final answer
    x = 1,362.48

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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.