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Finding the Fourth Proportional to 2,830.16, 3,907.96 and 1,837.15

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Solution

The fourth proportional to 2,830.16, 3,907.96 and 1,837.15 is: 2,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.16 : 3,907.96 = 1,837.15 : x
  2. Step 2: Convert to fraction form
    2,830.16/3,907.96 = 1,837.15/x
  3. Step 3: Cross multiply
    2,830.16x = 3,907.96 × 1,837.15
  4. Step 4: Simplify right side
    2,830.16x = 7,179,494.35
  5. Step 5: Solve for x
    x = 7,179,494.35/2,830.16
  6. Step 6: Final answer
    x = 2,536.78

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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.