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Finding the Fourth Proportional to 1,862.97, 2,570.73 and 1,023.66

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Solution

The fourth proportional to 1,862.97, 2,570.73 and 1,023.66 is: 1,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.97 : 2,570.73 = 1,023.66 : x
  2. Step 2: Convert to fraction form
    1,862.97/2,570.73 = 1,023.66/x
  3. Step 3: Cross multiply
    1,862.97x = 2,570.73 × 1,023.66
  4. Step 4: Simplify right side
    1,862.97x = 2,631,549.63
  5. Step 5: Solve for x
    x = 2,631,549.63/1,862.97
  6. Step 6: Final answer
    x = 1,412.56

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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.