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Finding the Fourth Proportional to 1,862.46, 2,570.54 and 1,065.96

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Solution

The fourth proportional to 1,862.46, 2,570.54 and 1,065.96 is: 1,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.46 : 2,570.54 = 1,065.96 : x
  2. Step 2: Convert to fraction form
    1,862.46/2,570.54 = 1,065.96/x
  3. Step 3: Cross multiply
    1,862.46x = 2,570.54 × 1,065.96
  4. Step 4: Simplify right side
    1,862.46x = 2,740,087.49
  5. Step 5: Solve for x
    x = 2,740,087.49/1,862.46
  6. Step 6: Final answer
    x = 1,471.22

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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.