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Finding the Fourth Proportional to 2,115.95, 2,920.01 and 1,184.45

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Solution

The fourth proportional to 2,115.95, 2,920.01 and 1,184.45 is: 1,634.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.95 : 2,920.01 = 1,184.45 : x
  2. Step 2: Convert to fraction form
    2,115.95/2,920.01 = 1,184.45/x
  3. Step 3: Cross multiply
    2,115.95x = 2,920.01 × 1,184.45
  4. Step 4: Simplify right side
    2,115.95x = 3,458,585.32
  5. Step 5: Solve for x
    x = 3,458,585.32/2,115.95
  6. Step 6: Final answer
    x = 1,634.53

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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.