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Finding the Fourth Proportional to 1,599.78, 2,408.10 and 1,459.65

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Solution

The fourth proportional to 1,599.78, 2,408.10 and 1,459.65 is: 2,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.78 : 2,408.10 = 1,459.65 : x
  2. Step 2: Convert to fraction form
    1,599.78/2,408.10 = 1,459.65/x
  3. Step 3: Cross multiply
    1,599.78x = 2,408.10 × 1,459.65
  4. Step 4: Simplify right side
    1,599.78x = 3,514,986.72
  5. Step 5: Solve for x
    x = 3,514,986.72/1,599.78
  6. Step 6: Final answer
    x = 2,197.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.