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Finding the Fourth Proportional to 2,875.97, 4,310.06 and 1,314.05

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Solution

The fourth proportional to 2,875.97, 4,310.06 and 1,314.05 is: 1,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.97 : 4,310.06 = 1,314.05 : x
  2. Step 2: Convert to fraction form
    2,875.97/4,310.06 = 1,314.05/x
  3. Step 3: Cross multiply
    2,875.97x = 4,310.06 × 1,314.05
  4. Step 4: Simplify right side
    2,875.97x = 5,663,606.22
  5. Step 5: Solve for x
    x = 5,663,606.22/2,875.97
  6. Step 6: Final answer
    x = 1,969.29

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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.