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Finding the Fourth Proportional to 2,615.70, 3,608.53 and 1,567.16

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Solution

The fourth proportional to 2,615.70, 3,608.53 and 1,567.16 is: 2,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.70 : 3,608.53 = 1,567.16 : x
  2. Step 2: Convert to fraction form
    2,615.70/3,608.53 = 1,567.16/x
  3. Step 3: Cross multiply
    2,615.70x = 3,608.53 × 1,567.16
  4. Step 4: Simplify right side
    2,615.70x = 5,655,143.87
  5. Step 5: Solve for x
    x = 5,655,143.87/2,615.70
  6. Step 6: Final answer
    x = 2,162.00

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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.