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Finding the Fourth Proportional to 1,774.42, 2,448.68 and 977.73

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Solution

The fourth proportional to 1,774.42, 2,448.68 and 977.73 is: 1,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.42 : 2,448.68 = 977.73 : x
  2. Step 2: Convert to fraction form
    1,774.42/2,448.68 = 977.73/x
  3. Step 3: Cross multiply
    1,774.42x = 2,448.68 × 977.73
  4. Step 4: Simplify right side
    1,774.42x = 2,394,147.90
  5. Step 5: Solve for x
    x = 2,394,147.90/1,774.42
  6. Step 6: Final answer
    x = 1,349.26

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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.