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Finding the Fourth Proportional to 2,966.01, 4,448.62 and 774.91

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Solution

The fourth proportional to 2,966.01, 4,448.62 and 774.91 is: 1,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.01 : 4,448.62 = 774.91 : x
  2. Step 2: Convert to fraction form
    2,966.01/4,448.62 = 774.91/x
  3. Step 3: Cross multiply
    2,966.01x = 4,448.62 × 774.91
  4. Step 4: Simplify right side
    2,966.01x = 3,447,280.12
  5. Step 5: Solve for x
    x = 3,447,280.12/2,966.01
  6. Step 6: Final answer
    x = 1,162.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.