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Finding the Fourth Proportional to 3,117.75, 4,678.65 and 1,578.75

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Solution

The fourth proportional to 3,117.75, 4,678.65 and 1,578.75 is: 2,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.75 : 4,678.65 = 1,578.75 : x
  2. Step 2: Convert to fraction form
    3,117.75/4,678.65 = 1,578.75/x
  3. Step 3: Cross multiply
    3,117.75x = 4,678.65 × 1,578.75
  4. Step 4: Simplify right side
    3,117.75x = 7,386,418.69
  5. Step 5: Solve for x
    x = 7,386,418.69/3,117.75
  6. Step 6: Final answer
    x = 2,369.15

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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.