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Finding the Fourth Proportional to 2,066.77, 3,100.83 and 971.25

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Solution

The fourth proportional to 2,066.77, 3,100.83 and 971.25 is: 1,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.77 : 3,100.83 = 971.25 : x
  2. Step 2: Convert to fraction form
    2,066.77/3,100.83 = 971.25/x
  3. Step 3: Cross multiply
    2,066.77x = 3,100.83 × 971.25
  4. Step 4: Simplify right side
    2,066.77x = 3,011,681.14
  5. Step 5: Solve for x
    x = 3,011,681.14/2,066.77
  6. Step 6: Final answer
    x = 1,457.19

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