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Finding the Fourth Proportional to 2,862.15, 3,948.93 and 1,742.46

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Solution

The fourth proportional to 2,862.15, 3,948.93 and 1,742.46 is: 2,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.15 : 3,948.93 = 1,742.46 : x
  2. Step 2: Convert to fraction form
    2,862.15/3,948.93 = 1,742.46/x
  3. Step 3: Cross multiply
    2,862.15x = 3,948.93 × 1,742.46
  4. Step 4: Simplify right side
    2,862.15x = 6,880,852.57
  5. Step 5: Solve for x
    x = 6,880,852.57/2,862.15
  6. Step 6: Final answer
    x = 2,404.09

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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.