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Finding the Fourth Proportional to 2,086.60, 2,880.06 and 1,300.18

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Solution

The fourth proportional to 2,086.60, 2,880.06 and 1,300.18 is: 1,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.60 : 2,880.06 = 1,300.18 : x
  2. Step 2: Convert to fraction form
    2,086.60/2,880.06 = 1,300.18/x
  3. Step 3: Cross multiply
    2,086.60x = 2,880.06 × 1,300.18
  4. Step 4: Simplify right side
    2,086.60x = 3,744,596.41
  5. Step 5: Solve for x
    x = 3,744,596.41/2,086.60
  6. Step 6: Final answer
    x = 1,794.59

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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.