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Finding the Fourth Proportional to 1,536.92, 2,119.87 and 947.78

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Solution

The fourth proportional to 1,536.92, 2,119.87 and 947.78 is: 1,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.92 : 2,119.87 = 947.78 : x
  2. Step 2: Convert to fraction form
    1,536.92/2,119.87 = 947.78/x
  3. Step 3: Cross multiply
    1,536.92x = 2,119.87 × 947.78
  4. Step 4: Simplify right side
    1,536.92x = 2,009,170.39
  5. Step 5: Solve for x
    x = 2,009,170.39/1,536.92
  6. Step 6: Final answer
    x = 1,307.27

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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.