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Finding the Fourth Proportional to 2,567.72, 3,846.95 and 1,182.22

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Solution

The fourth proportional to 2,567.72, 3,846.95 and 1,182.22 is: 1,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.72 : 3,846.95 = 1,182.22 : x
  2. Step 2: Convert to fraction form
    2,567.72/3,846.95 = 1,182.22/x
  3. Step 3: Cross multiply
    2,567.72x = 3,846.95 × 1,182.22
  4. Step 4: Simplify right side
    2,567.72x = 4,547,941.23
  5. Step 5: Solve for x
    x = 4,547,941.23/2,567.72
  6. Step 6: Final answer
    x = 1,771.20

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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.