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Finding the Fourth Proportional to 4,452.65, 6,681.26 and 1,822.10

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Solution

The fourth proportional to 4,452.65, 6,681.26 and 1,822.10 is: 2,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.65 : 6,681.26 = 1,822.10 : x
  2. Step 2: Convert to fraction form
    4,452.65/6,681.26 = 1,822.10/x
  3. Step 3: Cross multiply
    4,452.65x = 6,681.26 × 1,822.10
  4. Step 4: Simplify right side
    4,452.65x = 12,173,946.24
  5. Step 5: Solve for x
    x = 12,173,946.24/4,452.65
  6. Step 6: Final answer
    x = 2,734.09

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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.