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Finding the Fourth Proportional to 2,002.24, 3,003.52 and 848.32

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Solution

The fourth proportional to 2,002.24, 3,003.52 and 848.32 is: 1,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.24 : 3,003.52 = 848.32 : x
  2. Step 2: Convert to fraction form
    2,002.24/3,003.52 = 848.32/x
  3. Step 3: Cross multiply
    2,002.24x = 3,003.52 × 848.32
  4. Step 4: Simplify right side
    2,002.24x = 2,547,946.09
  5. Step 5: Solve for x
    x = 2,547,946.09/2,002.24
  6. Step 6: Final answer
    x = 1,272.55

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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.