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Finding the Fourth Proportional to 2,459.64, 3,395.46 and 1,575.95

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Solution

The fourth proportional to 2,459.64, 3,395.46 and 1,575.95 is: 2,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.64 : 3,395.46 = 1,575.95 : x
  2. Step 2: Convert to fraction form
    2,459.64/3,395.46 = 1,575.95/x
  3. Step 3: Cross multiply
    2,459.64x = 3,395.46 × 1,575.95
  4. Step 4: Simplify right side
    2,459.64x = 5,351,058.21
  5. Step 5: Solve for x
    x = 5,351,058.21/2,459.64
  6. Step 6: Final answer
    x = 2,175.55

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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.