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Finding the Fourth Proportional to 2,030.13, 2,803.86 and 2,002.86

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Solution

The fourth proportional to 2,030.13, 2,803.86 and 2,002.86 is: 2,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.13 : 2,803.86 = 2,002.86 : x
  2. Step 2: Convert to fraction form
    2,030.13/2,803.86 = 2,002.86/x
  3. Step 3: Cross multiply
    2,030.13x = 2,803.86 × 2,002.86
  4. Step 4: Simplify right side
    2,030.13x = 5,615,739.04
  5. Step 5: Solve for x
    x = 5,615,739.04/2,030.13
  6. Step 6: Final answer
    x = 2,766.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.