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Finding the Fourth Proportional to 1,562.89, 2,156.77 and 854.72

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Solution

The fourth proportional to 1,562.89, 2,156.77 and 854.72 is: 1,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.89 : 2,156.77 = 854.72 : x
  2. Step 2: Convert to fraction form
    1,562.89/2,156.77 = 854.72/x
  3. Step 3: Cross multiply
    1,562.89x = 2,156.77 × 854.72
  4. Step 4: Simplify right side
    1,562.89x = 1,843,434.23
  5. Step 5: Solve for x
    x = 1,843,434.23/1,562.89
  6. Step 6: Final answer
    x = 1,179.50

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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.