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Finding the Fourth Proportional to 2,208.77, 3,314.01 and 975.31

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Solution

The fourth proportional to 2,208.77, 3,314.01 and 975.31 is: 1,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.77 : 3,314.01 = 975.31 : x
  2. Step 2: Convert to fraction form
    2,208.77/3,314.01 = 975.31/x
  3. Step 3: Cross multiply
    2,208.77x = 3,314.01 × 975.31
  4. Step 4: Simplify right side
    2,208.77x = 3,232,187.09
  5. Step 5: Solve for x
    x = 3,232,187.09/2,208.77
  6. Step 6: Final answer
    x = 1,463.34

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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.