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Finding the Fourth Proportional to 2,184.64, 3,014.80 and 1,189.92

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Solution

The fourth proportional to 2,184.64, 3,014.80 and 1,189.92 is: 1,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.64 : 3,014.80 = 1,189.92 : x
  2. Step 2: Convert to fraction form
    2,184.64/3,014.80 = 1,189.92/x
  3. Step 3: Cross multiply
    2,184.64x = 3,014.80 × 1,189.92
  4. Step 4: Simplify right side
    2,184.64x = 3,587,364.25
  5. Step 5: Solve for x
    x = 3,587,364.25/2,184.64
  6. Step 6: Final answer
    x = 1,642.08

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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.