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Finding the Fourth Proportional to 1,774.04, 2,448.29 and 1,144.67

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Solution

The fourth proportional to 1,774.04, 2,448.29 and 1,144.67 is: 1,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.04 : 2,448.29 = 1,144.67 : x
  2. Step 2: Convert to fraction form
    1,774.04/2,448.29 = 1,144.67/x
  3. Step 3: Cross multiply
    1,774.04x = 2,448.29 × 1,144.67
  4. Step 4: Simplify right side
    1,774.04x = 2,802,474.73
  5. Step 5: Solve for x
    x = 2,802,474.73/1,774.04
  6. Step 6: Final answer
    x = 1,579.72

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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.