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Finding the Fourth Proportional to 1,459.92, 2,014.16 and 1,197.84

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Solution

The fourth proportional to 1,459.92, 2,014.16 and 1,197.84 is: 1,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.92 : 2,014.16 = 1,197.84 : x
  2. Step 2: Convert to fraction form
    1,459.92/2,014.16 = 1,197.84/x
  3. Step 3: Cross multiply
    1,459.92x = 2,014.16 × 1,197.84
  4. Step 4: Simplify right side
    1,459.92x = 2,412,641.41
  5. Step 5: Solve for x
    x = 2,412,641.41/1,459.92
  6. Step 6: Final answer
    x = 1,652.58

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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.