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Finding the Fourth Proportional to 2,466.95, 3,405.01 and 1,584.29

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Solution

The fourth proportional to 2,466.95, 3,405.01 and 1,584.29 is: 2,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.95 : 3,405.01 = 1,584.29 : x
  2. Step 2: Convert to fraction form
    2,466.95/3,405.01 = 1,584.29/x
  3. Step 3: Cross multiply
    2,466.95x = 3,405.01 × 1,584.29
  4. Step 4: Simplify right side
    2,466.95x = 5,394,515.08
  5. Step 5: Solve for x
    x = 5,394,515.08/2,466.95
  6. Step 6: Final answer
    x = 2,186.72

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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.