Home / 1,778.64-2,657.76-1,282.65

Finding the Fourth Proportional to 1,778.64, 2,657.76 and 1,282.65

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Solution

The fourth proportional to 1,778.64, 2,657.76 and 1,282.65 is: 1,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.64 : 2,657.76 = 1,282.65 : x
  2. Step 2: Convert to fraction form
    1,778.64/2,657.76 = 1,282.65/x
  3. Step 3: Cross multiply
    1,778.64x = 2,657.76 × 1,282.65
  4. Step 4: Simplify right side
    1,778.64x = 3,408,975.86
  5. Step 5: Solve for x
    x = 3,408,975.86/1,778.64
  6. Step 6: Final answer
    x = 1,916.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.