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Finding the Fourth Proportional to 2,746.49, 3,790.10 and 1,567.53

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Solution

The fourth proportional to 2,746.49, 3,790.10 and 1,567.53 is: 2,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.49 : 3,790.10 = 1,567.53 : x
  2. Step 2: Convert to fraction form
    2,746.49/3,790.10 = 1,567.53/x
  3. Step 3: Cross multiply
    2,746.49x = 3,790.10 × 1,567.53
  4. Step 4: Simplify right side
    2,746.49x = 5,941,087.62
  5. Step 5: Solve for x
    x = 5,941,087.62/2,746.49
  6. Step 6: Final answer
    x = 2,163.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.