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Finding the Fourth Proportional to 1,780.65, 2,669.74 and 958.09

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Solution

The fourth proportional to 1,780.65, 2,669.74 and 958.09 is: 1,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.65 : 2,669.74 = 958.09 : x
  2. Step 2: Convert to fraction form
    1,780.65/2,669.74 = 958.09/x
  3. Step 3: Cross multiply
    1,780.65x = 2,669.74 × 958.09
  4. Step 4: Simplify right side
    1,780.65x = 2,557,851.20
  5. Step 5: Solve for x
    x = 2,557,851.20/1,780.65
  6. Step 6: Final answer
    x = 1,436.47

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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.