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Finding the Fourth Proportional to 2,856.33, 3,942.95 and 1,862.46

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Solution

The fourth proportional to 2,856.33, 3,942.95 and 1,862.46 is: 2,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.33 : 3,942.95 = 1,862.46 : x
  2. Step 2: Convert to fraction form
    2,856.33/3,942.95 = 1,862.46/x
  3. Step 3: Cross multiply
    2,856.33x = 3,942.95 × 1,862.46
  4. Step 4: Simplify right side
    2,856.33x = 7,343,577.34
  5. Step 5: Solve for x
    x = 7,343,577.34/2,856.33
  6. Step 6: Final answer
    x = 2,570.98

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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.