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Finding the Fourth Proportional to 1,774.43, 2,448.77 and 977.84

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Solution

The fourth proportional to 1,774.43, 2,448.77 and 977.84 is: 1,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.43 : 2,448.77 = 977.84 : x
  2. Step 2: Convert to fraction form
    1,774.43/2,448.77 = 977.84/x
  3. Step 3: Cross multiply
    1,774.43x = 2,448.77 × 977.84
  4. Step 4: Simplify right side
    1,774.43x = 2,394,505.26
  5. Step 5: Solve for x
    x = 2,394,505.26/1,774.43
  6. Step 6: Final answer
    x = 1,349.45

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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.