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Finding the Fourth Proportional to 2,086.74, 2,878.34 and 1,300.23

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Solution

The fourth proportional to 2,086.74, 2,878.34 and 1,300.23 is: 1,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.74 : 2,878.34 = 1,300.23 : x
  2. Step 2: Convert to fraction form
    2,086.74/2,878.34 = 1,300.23/x
  3. Step 3: Cross multiply
    2,086.74x = 2,878.34 × 1,300.23
  4. Step 4: Simplify right side
    2,086.74x = 3,742,497.52
  5. Step 5: Solve for x
    x = 3,742,497.52/2,086.74
  6. Step 6: Final answer
    x = 1,793.47

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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.