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Finding the Fourth Proportional to 1,768.92, 2,656.35 and 1,330.17

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Solution

The fourth proportional to 1,768.92, 2,656.35 and 1,330.17 is: 1,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.92 : 2,656.35 = 1,330.17 : x
  2. Step 2: Convert to fraction form
    1,768.92/2,656.35 = 1,330.17/x
  3. Step 3: Cross multiply
    1,768.92x = 2,656.35 × 1,330.17
  4. Step 4: Simplify right side
    1,768.92x = 3,533,397.08
  5. Step 5: Solve for x
    x = 3,533,397.08/1,768.92
  6. Step 6: Final answer
    x = 1,997.49

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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.