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Finding the Fourth Proportional to 3,100.48, 4,646.50 and 1,711.75

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Solution

The fourth proportional to 3,100.48, 4,646.50 and 1,711.75 is: 2,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.48 : 4,646.50 = 1,711.75 : x
  2. Step 2: Convert to fraction form
    3,100.48/4,646.50 = 1,711.75/x
  3. Step 3: Cross multiply
    3,100.48x = 4,646.50 × 1,711.75
  4. Step 4: Simplify right side
    3,100.48x = 7,953,646.38
  5. Step 5: Solve for x
    x = 7,953,646.38/3,100.48
  6. Step 6: Final answer
    x = 2,565.30

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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.