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Finding the Fourth Proportional to 2,584.01, 3,870.66 and 1,263.79

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Solution

The fourth proportional to 2,584.01, 3,870.66 and 1,263.79 is: 1,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.01 : 3,870.66 = 1,263.79 : x
  2. Step 2: Convert to fraction form
    2,584.01/3,870.66 = 1,263.79/x
  3. Step 3: Cross multiply
    2,584.01x = 3,870.66 × 1,263.79
  4. Step 4: Simplify right side
    2,584.01x = 4,891,701.40
  5. Step 5: Solve for x
    x = 4,891,701.40/2,584.01
  6. Step 6: Final answer
    x = 1,893.07

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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.