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Finding the Fourth Proportional to 1,562.78, 2,156.59 and 854.62

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Solution

The fourth proportional to 1,562.78, 2,156.59 and 854.62 is: 1,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.78 : 2,156.59 = 854.62 : x
  2. Step 2: Convert to fraction form
    1,562.78/2,156.59 = 854.62/x
  3. Step 3: Cross multiply
    1,562.78x = 2,156.59 × 854.62
  4. Step 4: Simplify right side
    1,562.78x = 1,843,064.95
  5. Step 5: Solve for x
    x = 1,843,064.95/1,562.78
  6. Step 6: Final answer
    x = 1,179.35

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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.