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Finding the Fourth Proportional to 3,145.83, 4,715.97 and 2,448.69

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Solution

The fourth proportional to 3,145.83, 4,715.97 and 2,448.69 is: 3,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.83 : 4,715.97 = 2,448.69 : x
  2. Step 2: Convert to fraction form
    3,145.83/4,715.97 = 2,448.69/x
  3. Step 3: Cross multiply
    3,145.83x = 4,715.97 × 2,448.69
  4. Step 4: Simplify right side
    3,145.83x = 11,547,948.58
  5. Step 5: Solve for x
    x = 11,547,948.58/3,145.83
  6. Step 6: Final answer
    x = 3,670.87

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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.