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Finding the Fourth Proportional to 2,184.78, 3,012.63 and 1,902.51

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Solution

The fourth proportional to 2,184.78, 3,012.63 and 1,902.51 is: 2,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.78 : 3,012.63 = 1,902.51 : x
  2. Step 2: Convert to fraction form
    2,184.78/3,012.63 = 1,902.51/x
  3. Step 3: Cross multiply
    2,184.78x = 3,012.63 × 1,902.51
  4. Step 4: Simplify right side
    2,184.78x = 5,731,558.70
  5. Step 5: Solve for x
    x = 5,731,558.70/2,184.78
  6. Step 6: Final answer
    x = 2,623.40

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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.