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Finding the Fourth Proportional to 2,911.67, 4,017.75 and 1,715.75

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Solution

The fourth proportional to 2,911.67, 4,017.75 and 1,715.75 is: 2,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.67 : 4,017.75 = 1,715.75 : x
  2. Step 2: Convert to fraction form
    2,911.67/4,017.75 = 1,715.75/x
  3. Step 3: Cross multiply
    2,911.67x = 4,017.75 × 1,715.75
  4. Step 4: Simplify right side
    2,911.67x = 6,893,434.47
  5. Step 5: Solve for x
    x = 6,893,434.47/2,911.67
  6. Step 6: Final answer
    x = 2,367.52

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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.