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Finding the Fourth Proportional to 2,008.87, 3,014.27 and 710.95

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Solution

The fourth proportional to 2,008.87, 3,014.27 and 710.95 is: 1,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.87 : 3,014.27 = 710.95 : x
  2. Step 2: Convert to fraction form
    2,008.87/3,014.27 = 710.95/x
  3. Step 3: Cross multiply
    2,008.87x = 3,014.27 × 710.95
  4. Step 4: Simplify right side
    2,008.87x = 2,142,995.26
  5. Step 5: Solve for x
    x = 2,142,995.26/2,008.87
  6. Step 6: Final answer
    x = 1,066.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.