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Finding the Fourth Proportional to 1,774.75, 2,448.43 and 1,177.52

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Solution

The fourth proportional to 1,774.75, 2,448.43 and 1,177.52 is: 1,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.75 : 2,448.43 = 1,177.52 : x
  2. Step 2: Convert to fraction form
    1,774.75/2,448.43 = 1,177.52/x
  3. Step 3: Cross multiply
    1,774.75x = 2,448.43 × 1,177.52
  4. Step 4: Simplify right side
    1,774.75x = 2,883,069.41
  5. Step 5: Solve for x
    x = 2,883,069.41/1,774.75
  6. Step 6: Final answer
    x = 1,624.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.