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Finding the Fourth Proportional to 2,066.94, 3,100.50 and 586.26

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Solution

The fourth proportional to 2,066.94, 3,100.50 and 586.26 is: 879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.94 : 3,100.50 = 586.26 : x
  2. Step 2: Convert to fraction form
    2,066.94/3,100.50 = 586.26/x
  3. Step 3: Cross multiply
    2,066.94x = 3,100.50 × 586.26
  4. Step 4: Simplify right side
    2,066.94x = 1,817,699.13
  5. Step 5: Solve for x
    x = 1,817,699.13/2,066.94
  6. Step 6: Final answer
    x = 879.42

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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.