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Finding the Fourth Proportional to 1,767.23, 2,650.57 and 986.74

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Solution

The fourth proportional to 1,767.23, 2,650.57 and 986.74 is: 1,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.23 : 2,650.57 = 986.74 : x
  2. Step 2: Convert to fraction form
    1,767.23/2,650.57 = 986.74/x
  3. Step 3: Cross multiply
    1,767.23x = 2,650.57 × 986.74
  4. Step 4: Simplify right side
    1,767.23x = 2,615,423.44
  5. Step 5: Solve for x
    x = 2,615,423.44/1,767.23
  6. Step 6: Final answer
    x = 1,479.96

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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.