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Finding the Fourth Proportional to 2,211.66, 3,317.01 and 787.10

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Solution

The fourth proportional to 2,211.66, 3,317.01 and 787.10 is: 1,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.66 : 3,317.01 = 787.10 : x
  2. Step 2: Convert to fraction form
    2,211.66/3,317.01 = 787.10/x
  3. Step 3: Cross multiply
    2,211.66x = 3,317.01 × 787.10
  4. Step 4: Simplify right side
    2,211.66x = 2,610,801.99
  5. Step 5: Solve for x
    x = 2,610,801.99/2,211.66
  6. Step 6: Final answer
    x = 1,180.47

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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.