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Finding the Fourth Proportional to 2,184.86, 3,014.25 and 1,439.18

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Solution

The fourth proportional to 2,184.86, 3,014.25 and 1,439.18 is: 1,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.86 : 3,014.25 = 1,439.18 : x
  2. Step 2: Convert to fraction form
    2,184.86/3,014.25 = 1,439.18/x
  3. Step 3: Cross multiply
    2,184.86x = 3,014.25 × 1,439.18
  4. Step 4: Simplify right side
    2,184.86x = 4,338,048.32
  5. Step 5: Solve for x
    x = 4,338,048.32/2,184.86
  6. Step 6: Final answer
    x = 1,985.51

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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.