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Finding the Fourth Proportional to 3,114.66, 4,298.50 and 1,717.68

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Solution

The fourth proportional to 3,114.66, 4,298.50 and 1,717.68 is: 2,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.66 : 4,298.50 = 1,717.68 : x
  2. Step 2: Convert to fraction form
    3,114.66/4,298.50 = 1,717.68/x
  3. Step 3: Cross multiply
    3,114.66x = 4,298.50 × 1,717.68
  4. Step 4: Simplify right side
    3,114.66x = 7,383,443.19
  5. Step 5: Solve for x
    x = 7,383,443.19/3,114.66
  6. Step 6: Final answer
    x = 2,370.55

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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.