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Finding the Fourth Proportional to 2,086.02, 2,880.36 and 1,290.51

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Solution

The fourth proportional to 2,086.02, 2,880.36 and 1,290.51 is: 1,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.02 : 2,880.36 = 1,290.51 : x
  2. Step 2: Convert to fraction form
    2,086.02/2,880.36 = 1,290.51/x
  3. Step 3: Cross multiply
    2,086.02x = 2,880.36 × 1,290.51
  4. Step 4: Simplify right side
    2,086.02x = 3,717,133.38
  5. Step 5: Solve for x
    x = 3,717,133.38/2,086.02
  6. Step 6: Final answer
    x = 1,781.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.