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Finding the Fourth Proportional to 1,665.19, 2,495.69 and 787.69

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Solution

The fourth proportional to 1,665.19, 2,495.69 and 787.69 is: 1,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.19 : 2,495.69 = 787.69 : x
  2. Step 2: Convert to fraction form
    1,665.19/2,495.69 = 787.69/x
  3. Step 3: Cross multiply
    1,665.19x = 2,495.69 × 787.69
  4. Step 4: Simplify right side
    1,665.19x = 1,965,813.64
  5. Step 5: Solve for x
    x = 1,965,813.64/1,665.19
  6. Step 6: Final answer
    x = 1,180.54

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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.