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Finding the Fourth Proportional to 1,459.16, 2,199.49 and 1,374.49

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Solution

The fourth proportional to 1,459.16, 2,199.49 and 1,374.49 is: 2,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.16 : 2,199.49 = 1,374.49 : x
  2. Step 2: Convert to fraction form
    1,459.16/2,199.49 = 1,374.49/x
  3. Step 3: Cross multiply
    1,459.16x = 2,199.49 × 1,374.49
  4. Step 4: Simplify right side
    1,459.16x = 3,023,163.95
  5. Step 5: Solve for x
    x = 3,023,163.95/1,459.16
  6. Step 6: Final answer
    x = 2,071.85

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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.