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Finding the Fourth Proportional to 1,969.32, 2,718.68 and 1,862.12

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Solution

The fourth proportional to 1,969.32, 2,718.68 and 1,862.12 is: 2,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.32 : 2,718.68 = 1,862.12 : x
  2. Step 2: Convert to fraction form
    1,969.32/2,718.68 = 1,862.12/x
  3. Step 3: Cross multiply
    1,969.32x = 2,718.68 × 1,862.12
  4. Step 4: Simplify right side
    1,969.32x = 5,062,508.40
  5. Step 5: Solve for x
    x = 5,062,508.40/1,969.32
  6. Step 6: Final answer
    x = 2,570.69

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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.