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Finding the Fourth Proportional to 2,875.96, 4,310.70 and 1,412.02

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Solution

The fourth proportional to 2,875.96, 4,310.70 and 1,412.02 is: 2,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.96 : 4,310.70 = 1,412.02 : x
  2. Step 2: Convert to fraction form
    2,875.96/4,310.70 = 1,412.02/x
  3. Step 3: Cross multiply
    2,875.96x = 4,310.70 × 1,412.02
  4. Step 4: Simplify right side
    2,875.96x = 6,086,794.61
  5. Step 5: Solve for x
    x = 6,086,794.61/2,875.96
  6. Step 6: Final answer
    x = 2,116.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.