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Finding the Fourth Proportional to 2,567.69, 3,832.96 and 2,256.30

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Solution

The fourth proportional to 2,567.69, 3,832.96 and 2,256.30 is: 3,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.69 : 3,832.96 = 2,256.30 : x
  2. Step 2: Convert to fraction form
    2,567.69/3,832.96 = 2,256.30/x
  3. Step 3: Cross multiply
    2,567.69x = 3,832.96 × 2,256.30
  4. Step 4: Simplify right side
    2,567.69x = 8,648,307.65
  5. Step 5: Solve for x
    x = 8,648,307.65/2,567.69
  6. Step 6: Final answer
    x = 3,368.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.