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Finding the Fourth Proportional to 2,459.88, 3,689.01 and 1,642.59

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Solution

The fourth proportional to 2,459.88, 3,689.01 and 1,642.59 is: 2,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.88 : 3,689.01 = 1,642.59 : x
  2. Step 2: Convert to fraction form
    2,459.88/3,689.01 = 1,642.59/x
  3. Step 3: Cross multiply
    2,459.88x = 3,689.01 × 1,642.59
  4. Step 4: Simplify right side
    2,459.88x = 6,059,530.94
  5. Step 5: Solve for x
    x = 6,059,530.94/2,459.88
  6. Step 6: Final answer
    x = 2,463.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.