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Finding the Fourth Proportional to 2,870.96, 3,960.60 and 2,031.68

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Solution

The fourth proportional to 2,870.96, 3,960.60 and 2,031.68 is: 2,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.96 : 3,960.60 = 2,031.68 : x
  2. Step 2: Convert to fraction form
    2,870.96/3,960.60 = 2,031.68/x
  3. Step 3: Cross multiply
    2,870.96x = 3,960.60 × 2,031.68
  4. Step 4: Simplify right side
    2,870.96x = 8,046,671.81
  5. Step 5: Solve for x
    x = 8,046,671.81/2,870.96
  6. Step 6: Final answer
    x = 2,802.78

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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.