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Finding the Fourth Proportional to 3,437.53, 4,743.81 and 1,865.64

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Solution

The fourth proportional to 3,437.53, 4,743.81 and 1,865.64 is: 2,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.53 : 4,743.81 = 1,865.64 : x
  2. Step 2: Convert to fraction form
    3,437.53/4,743.81 = 1,865.64/x
  3. Step 3: Cross multiply
    3,437.53x = 4,743.81 × 1,865.64
  4. Step 4: Simplify right side
    3,437.53x = 8,850,241.69
  5. Step 5: Solve for x
    x = 8,850,241.69/3,437.53
  6. Step 6: Final answer
    x = 2,574.59

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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.