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Finding the Fourth Proportional to 1,774.26, 2,448.51 and 977.61

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Solution

The fourth proportional to 1,774.26, 2,448.51 and 977.61 is: 1,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.26 : 2,448.51 = 977.61 : x
  2. Step 2: Convert to fraction form
    1,774.26/2,448.51 = 977.61/x
  3. Step 3: Cross multiply
    1,774.26x = 2,448.51 × 977.61
  4. Step 4: Simplify right side
    1,774.26x = 2,393,687.86
  5. Step 5: Solve for x
    x = 2,393,687.86/1,774.26
  6. Step 6: Final answer
    x = 1,349.12

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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.