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Finding the Fourth Proportional to 1,547.98, 2,324.40 and 1,224.78

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Solution

The fourth proportional to 1,547.98, 2,324.40 and 1,224.78 is: 1,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.98 : 2,324.40 = 1,224.78 : x
  2. Step 2: Convert to fraction form
    1,547.98/2,324.40 = 1,224.78/x
  3. Step 3: Cross multiply
    1,547.98x = 2,324.40 × 1,224.78
  4. Step 4: Simplify right side
    1,547.98x = 2,846,878.63
  5. Step 5: Solve for x
    x = 2,846,878.63/1,547.98
  6. Step 6: Final answer
    x = 1,839.09

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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.