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Finding the Fourth Proportional to 2,300.06, 3,175.80 and 2,034.78

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Solution

The fourth proportional to 2,300.06, 3,175.80 and 2,034.78 is: 2,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.06 : 3,175.80 = 2,034.78 : x
  2. Step 2: Convert to fraction form
    2,300.06/3,175.80 = 2,034.78/x
  3. Step 3: Cross multiply
    2,300.06x = 3,175.80 × 2,034.78
  4. Step 4: Simplify right side
    2,300.06x = 6,462,054.32
  5. Step 5: Solve for x
    x = 6,462,054.32/2,300.06
  6. Step 6: Final answer
    x = 2,809.52

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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.