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Finding the Fourth Proportional to 2,080.40, 2,870.90 and 1,196.18

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Solution

The fourth proportional to 2,080.40, 2,870.90 and 1,196.18 is: 1,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.40 : 2,870.90 = 1,196.18 : x
  2. Step 2: Convert to fraction form
    2,080.40/2,870.90 = 1,196.18/x
  3. Step 3: Cross multiply
    2,080.40x = 2,870.90 × 1,196.18
  4. Step 4: Simplify right side
    2,080.40x = 3,434,113.16
  5. Step 5: Solve for x
    x = 3,434,113.16/2,080.40
  6. Step 6: Final answer
    x = 1,650.70

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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.