Home / 2,152.26-3,225.63-1,565.78

Finding the Fourth Proportional to 2,152.26, 3,225.63 and 1,565.78

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Solution

The fourth proportional to 2,152.26, 3,225.63 and 1,565.78 is: 2,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.26 : 3,225.63 = 1,565.78 : x
  2. Step 2: Convert to fraction form
    2,152.26/3,225.63 = 1,565.78/x
  3. Step 3: Cross multiply
    2,152.26x = 3,225.63 × 1,565.78
  4. Step 4: Simplify right side
    2,152.26x = 5,050,626.94
  5. Step 5: Solve for x
    x = 5,050,626.94/2,152.26
  6. Step 6: Final answer
    x = 2,346.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.