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Finding the Fourth Proportional to 1,935.45, 2,902.29 and 618.95

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Solution

The fourth proportional to 1,935.45, 2,902.29 and 618.95 is: 928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.45 : 2,902.29 = 618.95 : x
  2. Step 2: Convert to fraction form
    1,935.45/2,902.29 = 618.95/x
  3. Step 3: Cross multiply
    1,935.45x = 2,902.29 × 618.95
  4. Step 4: Simplify right side
    1,935.45x = 1,796,357.88
  5. Step 5: Solve for x
    x = 1,796,357.88/1,935.45
  6. Step 6: Final answer
    x = 928.13

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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.