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Finding the Fourth Proportional to 2,585.96, 3,567.67 and 1,655.00

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Solution

The fourth proportional to 2,585.96, 3,567.67 and 1,655.00 is: 2,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.96 : 3,567.67 = 1,655.00 : x
  2. Step 2: Convert to fraction form
    2,585.96/3,567.67 = 1,655.00/x
  3. Step 3: Cross multiply
    2,585.96x = 3,567.67 × 1,655.00
  4. Step 4: Simplify right side
    2,585.96x = 5,904,471.87
  5. Step 5: Solve for x
    x = 5,904,471.87/2,585.96
  6. Step 6: Final answer
    x = 2,283.28

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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.