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Finding the Fourth Proportional to 2,567.64, 3,851.49 and 1,695.72

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Solution

The fourth proportional to 2,567.64, 3,851.49 and 1,695.72 is: 2,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.64 : 3,851.49 = 1,695.72 : x
  2. Step 2: Convert to fraction form
    2,567.64/3,851.49 = 1,695.72/x
  3. Step 3: Cross multiply
    2,567.64x = 3,851.49 × 1,695.72
  4. Step 4: Simplify right side
    2,567.64x = 6,531,048.62
  5. Step 5: Solve for x
    x = 6,531,048.62/2,567.64
  6. Step 6: Final answer
    x = 2,543.60

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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.