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Finding the Fourth Proportional to 2,902.07, 4,007.51 and 1,855.95

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Solution

The fourth proportional to 2,902.07, 4,007.51 and 1,855.95 is: 2,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.07 : 4,007.51 = 1,855.95 : x
  2. Step 2: Convert to fraction form
    2,902.07/4,007.51 = 1,855.95/x
  3. Step 3: Cross multiply
    2,902.07x = 4,007.51 × 1,855.95
  4. Step 4: Simplify right side
    2,902.07x = 7,437,728.90
  5. Step 5: Solve for x
    x = 7,437,728.90/2,902.07
  6. Step 6: Final answer
    x = 2,562.91

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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.