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Finding the Fourth Proportional to 1,547.64, 2,310.39 and 1,493.64

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Solution

The fourth proportional to 1,547.64, 2,310.39 and 1,493.64 is: 2,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.64 : 2,310.39 = 1,493.64 : x
  2. Step 2: Convert to fraction form
    1,547.64/2,310.39 = 1,493.64/x
  3. Step 3: Cross multiply
    1,547.64x = 2,310.39 × 1,493.64
  4. Step 4: Simplify right side
    1,547.64x = 3,450,890.92
  5. Step 5: Solve for x
    x = 3,450,890.92/1,547.64
  6. Step 6: Final answer
    x = 2,229.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.