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Finding the Fourth Proportional to 1,847.70, 2,547.71 and 1,218.02

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Solution

The fourth proportional to 1,847.70, 2,547.71 and 1,218.02 is: 1,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.70 : 2,547.71 = 1,218.02 : x
  2. Step 2: Convert to fraction form
    1,847.70/2,547.71 = 1,218.02/x
  3. Step 3: Cross multiply
    1,847.70x = 2,547.71 × 1,218.02
  4. Step 4: Simplify right side
    1,847.70x = 3,103,161.73
  5. Step 5: Solve for x
    x = 3,103,161.73/1,847.70
  6. Step 6: Final answer
    x = 1,679.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.