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Finding the Fourth Proportional to 1,459.45, 2,191.80 and 912.70

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Solution

The fourth proportional to 1,459.45, 2,191.80 and 912.70 is: 1,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.45 : 2,191.80 = 912.70 : x
  2. Step 2: Convert to fraction form
    1,459.45/2,191.80 = 912.70/x
  3. Step 3: Cross multiply
    1,459.45x = 2,191.80 × 912.70
  4. Step 4: Simplify right side
    1,459.45x = 2,000,455.86
  5. Step 5: Solve for x
    x = 2,000,455.86/1,459.45
  6. Step 6: Final answer
    x = 1,370.69

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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.