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Finding the Fourth Proportional to 2,410.52, 3,326.56 and 1,415.42

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Solution

The fourth proportional to 2,410.52, 3,326.56 and 1,415.42 is: 1,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.52 : 3,326.56 = 1,415.42 : x
  2. Step 2: Convert to fraction form
    2,410.52/3,326.56 = 1,415.42/x
  3. Step 3: Cross multiply
    2,410.52x = 3,326.56 × 1,415.42
  4. Step 4: Simplify right side
    2,410.52x = 4,708,479.56
  5. Step 5: Solve for x
    x = 4,708,479.56/2,410.52
  6. Step 6: Final answer
    x = 1,953.30

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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.