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Finding the Fourth Proportional to 2,036.86, 3,055.29 and 1,746.49

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Solution

The fourth proportional to 2,036.86, 3,055.29 and 1,746.49 is: 2,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.86 : 3,055.29 = 1,746.49 : x
  2. Step 2: Convert to fraction form
    2,036.86/3,055.29 = 1,746.49/x
  3. Step 3: Cross multiply
    2,036.86x = 3,055.29 × 1,746.49
  4. Step 4: Simplify right side
    2,036.86x = 5,336,033.43
  5. Step 5: Solve for x
    x = 5,336,033.43/2,036.86
  6. Step 6: Final answer
    x = 2,619.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.