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Finding the Fourth Proportional to 2,410.17, 3,326.10 and 1,415.49

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Solution

The fourth proportional to 2,410.17, 3,326.10 and 1,415.49 is: 1,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.17 : 3,326.10 = 1,415.49 : x
  2. Step 2: Convert to fraction form
    2,410.17/3,326.10 = 1,415.49/x
  3. Step 3: Cross multiply
    2,410.17x = 3,326.10 × 1,415.49
  4. Step 4: Simplify right side
    2,410.17x = 4,708,061.29
  5. Step 5: Solve for x
    x = 4,708,061.29/2,410.17
  6. Step 6: Final answer
    x = 1,953.41

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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.