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Finding the Fourth Proportional to 2,866.42, 4,291.53 and 1,823.83

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Solution

The fourth proportional to 2,866.42, 4,291.53 and 1,823.83 is: 2,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.42 : 4,291.53 = 1,823.83 : x
  2. Step 2: Convert to fraction form
    2,866.42/4,291.53 = 1,823.83/x
  3. Step 3: Cross multiply
    2,866.42x = 4,291.53 × 1,823.83
  4. Step 4: Simplify right side
    2,866.42x = 7,827,021.16
  5. Step 5: Solve for x
    x = 7,827,021.16/2,866.42
  6. Step 6: Final answer
    x = 2,730.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.