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Finding the Fourth Proportional to 2,184.70, 3,277.01 and 541.25

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Solution

The fourth proportional to 2,184.70, 3,277.01 and 541.25 is: 811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.70 : 3,277.01 = 541.25 : x
  2. Step 2: Convert to fraction form
    2,184.70/3,277.01 = 541.25/x
  3. Step 3: Cross multiply
    2,184.70x = 3,277.01 × 541.25
  4. Step 4: Simplify right side
    2,184.70x = 1,773,681.66
  5. Step 5: Solve for x
    x = 1,773,681.66/2,184.70
  6. Step 6: Final answer
    x = 811.87

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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.