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Finding the Fourth Proportional to 1,461.56, 2,188.74 and 1,134.20

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Solution

The fourth proportional to 1,461.56, 2,188.74 and 1,134.20 is: 1,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.56 : 2,188.74 = 1,134.20 : x
  2. Step 2: Convert to fraction form
    1,461.56/2,188.74 = 1,134.20/x
  3. Step 3: Cross multiply
    1,461.56x = 2,188.74 × 1,134.20
  4. Step 4: Simplify right side
    1,461.56x = 2,482,468.91
  5. Step 5: Solve for x
    x = 2,482,468.91/1,461.56
  6. Step 6: Final answer
    x = 1,698.51

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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.