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Finding the Fourth Proportional to 1,862, 2,568.91 and 1,116.20

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Solution

The fourth proportional to 1,862, 2,568.91 and 1,116.20 is: 1,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862 : 2,568.91 = 1,116.20 : x
  2. Step 2: Convert to fraction form
    1,862/2,568.91 = 1,116.20/x
  3. Step 3: Cross multiply
    1,862x = 2,568.91 × 1,116.20
  4. Step 4: Simplify right side
    1,862x = 2,867,411.76
  5. Step 5: Solve for x
    x = 2,867,411.76/1,862
  6. Step 6: Final answer
    x = 1,539.96

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Why These Related Problems?

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