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Finding the Fourth Proportional to 1,610.05, 2,415.85 and 787.88

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Solution

The fourth proportional to 1,610.05, 2,415.85 and 787.88 is: 1,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.05 : 2,415.85 = 787.88 : x
  2. Step 2: Convert to fraction form
    1,610.05/2,415.85 = 787.88/x
  3. Step 3: Cross multiply
    1,610.05x = 2,415.85 × 787.88
  4. Step 4: Simplify right side
    1,610.05x = 1,903,387.82
  5. Step 5: Solve for x
    x = 1,903,387.82/1,610.05
  6. Step 6: Final answer
    x = 1,182.19

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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.