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Finding the Fourth Proportional to 2,045.05, 2,822.24 and 1,148.95

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Solution

The fourth proportional to 2,045.05, 2,822.24 and 1,148.95 is: 1,585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.05 : 2,822.24 = 1,148.95 : x
  2. Step 2: Convert to fraction form
    2,045.05/2,822.24 = 1,148.95/x
  3. Step 3: Cross multiply
    2,045.05x = 2,822.24 × 1,148.95
  4. Step 4: Simplify right side
    2,045.05x = 3,242,604.16
  5. Step 5: Solve for x
    x = 3,242,604.16/2,045.05
  6. Step 6: Final answer
    x = 1,585.59

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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.