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Finding the Fourth Proportional to 1,547.78, 2,321.21 and 854.31

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Solution

The fourth proportional to 1,547.78, 2,321.21 and 854.31 is: 1,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.78 : 2,321.21 = 854.31 : x
  2. Step 2: Convert to fraction form
    1,547.78/2,321.21 = 854.31/x
  3. Step 3: Cross multiply
    1,547.78x = 2,321.21 × 854.31
  4. Step 4: Simplify right side
    1,547.78x = 1,983,028.64
  5. Step 5: Solve for x
    x = 1,983,028.64/1,547.78
  6. Step 6: Final answer
    x = 1,281.21

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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.