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Finding the Fourth Proportional to 2,855.04, 4,282.55 and 907.19

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Solution

The fourth proportional to 2,855.04, 4,282.55 and 907.19 is: 1,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.04 : 4,282.55 = 907.19 : x
  2. Step 2: Convert to fraction form
    2,855.04/4,282.55 = 907.19/x
  3. Step 3: Cross multiply
    2,855.04x = 4,282.55 × 907.19
  4. Step 4: Simplify right side
    2,855.04x = 3,885,086.53
  5. Step 5: Solve for x
    x = 3,885,086.53/2,855.04
  6. Step 6: Final answer
    x = 1,360.78

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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.