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Finding the Fourth Proportional to 1,862.08, 2,569.60 and 1,034.08

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Solution

The fourth proportional to 1,862.08, 2,569.60 and 1,034.08 is: 1,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.08 : 2,569.60 = 1,034.08 : x
  2. Step 2: Convert to fraction form
    1,862.08/2,569.60 = 1,034.08/x
  3. Step 3: Cross multiply
    1,862.08x = 2,569.60 × 1,034.08
  4. Step 4: Simplify right side
    1,862.08x = 2,657,171.97
  5. Step 5: Solve for x
    x = 2,657,171.97/1,862.08
  6. Step 6: Final answer
    x = 1,426.99

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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.