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Finding the Fourth Proportional to 3,188.42, 4,778.57 and 1,802.53

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Solution

The fourth proportional to 3,188.42, 4,778.57 and 1,802.53 is: 2,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.42 : 4,778.57 = 1,802.53 : x
  2. Step 2: Convert to fraction form
    3,188.42/4,778.57 = 1,802.53/x
  3. Step 3: Cross multiply
    3,188.42x = 4,778.57 × 1,802.53
  4. Step 4: Simplify right side
    3,188.42x = 8,613,515.78
  5. Step 5: Solve for x
    x = 8,613,515.78/3,188.42
  6. Step 6: Final answer
    x = 2,701.50

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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.