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Finding the Fourth Proportional to 2,080.10, 2,870.48 and 1,135.86

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Solution

The fourth proportional to 2,080.10, 2,870.48 and 1,135.86 is: 1,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.10 : 2,870.48 = 1,135.86 : x
  2. Step 2: Convert to fraction form
    2,080.10/2,870.48 = 1,135.86/x
  3. Step 3: Cross multiply
    2,080.10x = 2,870.48 × 1,135.86
  4. Step 4: Simplify right side
    2,080.10x = 3,260,463.41
  5. Step 5: Solve for x
    x = 3,260,463.41/2,080.10
  6. Step 6: Final answer
    x = 1,567.46

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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.