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Finding the Fourth Proportional to 2,238.04, 3,356.28 and 776.80

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Solution

The fourth proportional to 2,238.04, 3,356.28 and 776.80 is: 1,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.04 : 3,356.28 = 776.80 : x
  2. Step 2: Convert to fraction form
    2,238.04/3,356.28 = 776.80/x
  3. Step 3: Cross multiply
    2,238.04x = 3,356.28 × 776.80
  4. Step 4: Simplify right side
    2,238.04x = 2,607,158.30
  5. Step 5: Solve for x
    x = 2,607,158.30/2,238.04
  6. Step 6: Final answer
    x = 1,164.93

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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.