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Finding the Fourth Proportional to 1,774.66, 2,659.03 and 1,114.91

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Solution

The fourth proportional to 1,774.66, 2,659.03 and 1,114.91 is: 1,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.66 : 2,659.03 = 1,114.91 : x
  2. Step 2: Convert to fraction form
    1,774.66/2,659.03 = 1,114.91/x
  3. Step 3: Cross multiply
    1,774.66x = 2,659.03 × 1,114.91
  4. Step 4: Simplify right side
    1,774.66x = 2,964,587.98
  5. Step 5: Solve for x
    x = 2,964,587.98/1,774.66
  6. Step 6: Final answer
    x = 1,670.51

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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.