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Finding the Fourth Proportional to 2,054.57, 3,059.37 and 2,002.32

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Solution

The fourth proportional to 2,054.57, 3,059.37 and 2,002.32 is: 2,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.57 : 3,059.37 = 2,002.32 : x
  2. Step 2: Convert to fraction form
    2,054.57/3,059.37 = 2,002.32/x
  3. Step 3: Cross multiply
    2,054.57x = 3,059.37 × 2,002.32
  4. Step 4: Simplify right side
    2,054.57x = 6,125,837.74
  5. Step 5: Solve for x
    x = 6,125,837.74/2,054.57
  6. Step 6: Final answer
    x = 2,981.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.