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Finding the Fourth Proportional to 1,782.29, 2,674.87 and 916.85

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Solution

The fourth proportional to 1,782.29, 2,674.87 and 916.85 is: 1,376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.29 : 2,674.87 = 916.85 : x
  2. Step 2: Convert to fraction form
    1,782.29/2,674.87 = 916.85/x
  3. Step 3: Cross multiply
    1,782.29x = 2,674.87 × 916.85
  4. Step 4: Simplify right side
    1,782.29x = 2,452,454.56
  5. Step 5: Solve for x
    x = 2,452,454.56/1,782.29
  6. Step 6: Final answer
    x = 1,376.01

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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.