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Finding the Fourth Proportional to 2,003.02, 3,003.80 and 848.86

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Solution

The fourth proportional to 2,003.02, 3,003.80 and 848.86 is: 1,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.02 : 3,003.80 = 848.86 : x
  2. Step 2: Convert to fraction form
    2,003.02/3,003.80 = 848.86/x
  3. Step 3: Cross multiply
    2,003.02x = 3,003.80 × 848.86
  4. Step 4: Simplify right side
    2,003.02x = 2,549,805.67
  5. Step 5: Solve for x
    x = 2,549,805.67/2,003.02
  6. Step 6: Final answer
    x = 1,272.98

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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.