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Finding the Fourth Proportional to 1,862.60, 2,570.94 and 1,116.18

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Solution

The fourth proportional to 1,862.60, 2,570.94 and 1,116.18 is: 1,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.60 : 2,570.94 = 1,116.18 : x
  2. Step 2: Convert to fraction form
    1,862.60/2,570.94 = 1,116.18/x
  3. Step 3: Cross multiply
    1,862.60x = 2,570.94 × 1,116.18
  4. Step 4: Simplify right side
    1,862.60x = 2,869,631.81
  5. Step 5: Solve for x
    x = 2,869,631.81/1,862.60
  6. Step 6: Final answer
    x = 1,540.66

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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.