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Finding the Fourth Proportional to 2,012.59, 3,032.62 and 1,655.38

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Solution

The fourth proportional to 2,012.59, 3,032.62 and 1,655.38 is: 2,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.59 : 3,032.62 = 1,655.38 : x
  2. Step 2: Convert to fraction form
    2,012.59/3,032.62 = 1,655.38/x
  3. Step 3: Cross multiply
    2,012.59x = 3,032.62 × 1,655.38
  4. Step 4: Simplify right side
    2,012.59x = 5,020,138.50
  5. Step 5: Solve for x
    x = 5,020,138.50/2,012.59
  6. Step 6: Final answer
    x = 2,494.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.