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Finding the Fourth Proportional to 1,894.20, 2,613.36 and 1,107.84

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Solution

The fourth proportional to 1,894.20, 2,613.36 and 1,107.84 is: 1,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.20 : 2,613.36 = 1,107.84 : x
  2. Step 2: Convert to fraction form
    1,894.20/2,613.36 = 1,107.84/x
  3. Step 3: Cross multiply
    1,894.20x = 2,613.36 × 1,107.84
  4. Step 4: Simplify right side
    1,894.20x = 2,895,184.74
  5. Step 5: Solve for x
    x = 2,895,184.74/1,894.20
  6. Step 6: Final answer
    x = 1,528.45

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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.