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Finding the Fourth Proportional to 1,773.36, 2,447.30 and 976.70

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Solution

The fourth proportional to 1,773.36, 2,447.30 and 976.70 is: 1,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.36 : 2,447.30 = 976.70 : x
  2. Step 2: Convert to fraction form
    1,773.36/2,447.30 = 976.70/x
  3. Step 3: Cross multiply
    1,773.36x = 2,447.30 × 976.70
  4. Step 4: Simplify right side
    1,773.36x = 2,390,277.91
  5. Step 5: Solve for x
    x = 2,390,277.91/1,773.36
  6. Step 6: Final answer
    x = 1,347.88

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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.