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Finding the Fourth Proportional to 2,184.57, 3,278.21 and 1,405.07

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Solution

The fourth proportional to 2,184.57, 3,278.21 and 1,405.07 is: 2,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.57 : 3,278.21 = 1,405.07 : x
  2. Step 2: Convert to fraction form
    2,184.57/3,278.21 = 1,405.07/x
  3. Step 3: Cross multiply
    2,184.57x = 3,278.21 × 1,405.07
  4. Step 4: Simplify right side
    2,184.57x = 4,606,114.52
  5. Step 5: Solve for x
    x = 4,606,114.52/2,184.57
  6. Step 6: Final answer
    x = 2,108.48

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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.