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Finding the Fourth Proportional to 2,086.56, 2,880.36 and 1,386.72

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Solution

The fourth proportional to 2,086.56, 2,880.36 and 1,386.72 is: 1,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.56 : 2,880.36 = 1,386.72 : x
  2. Step 2: Convert to fraction form
    2,086.56/2,880.36 = 1,386.72/x
  3. Step 3: Cross multiply
    2,086.56x = 2,880.36 × 1,386.72
  4. Step 4: Simplify right side
    2,086.56x = 3,994,252.82
  5. Step 5: Solve for x
    x = 3,994,252.82/2,086.56
  6. Step 6: Final answer
    x = 1,914.28

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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.