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Finding the Fourth Proportional to 2,493.32, 3,437.72 and 2,019.47

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Solution

The fourth proportional to 2,493.32, 3,437.72 and 2,019.47 is: 2,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.32 : 3,437.72 = 2,019.47 : x
  2. Step 2: Convert to fraction form
    2,493.32/3,437.72 = 2,019.47/x
  3. Step 3: Cross multiply
    2,493.32x = 3,437.72 × 2,019.47
  4. Step 4: Simplify right side
    2,493.32x = 6,942,345.12
  5. Step 5: Solve for x
    x = 6,942,345.12/2,493.32
  6. Step 6: Final answer
    x = 2,784.38

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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.