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Finding the Fourth Proportional to 3,191.81, 4,405.89 and 1,865.53

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Solution

The fourth proportional to 3,191.81, 4,405.89 and 1,865.53 is: 2,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.81 : 4,405.89 = 1,865.53 : x
  2. Step 2: Convert to fraction form
    3,191.81/4,405.89 = 1,865.53/x
  3. Step 3: Cross multiply
    3,191.81x = 4,405.89 × 1,865.53
  4. Step 4: Simplify right side
    3,191.81x = 8,219,332.47
  5. Step 5: Solve for x
    x = 8,219,332.47/3,191.81
  6. Step 6: Final answer
    x = 2,575.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.