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Finding the Fourth Proportional to 1,639.05, 2,261.71 and 975.77

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Solution

The fourth proportional to 1,639.05, 2,261.71 and 975.77 is: 1,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.05 : 2,261.71 = 975.77 : x
  2. Step 2: Convert to fraction form
    1,639.05/2,261.71 = 975.77/x
  3. Step 3: Cross multiply
    1,639.05x = 2,261.71 × 975.77
  4. Step 4: Simplify right side
    1,639.05x = 2,206,911.98
  5. Step 5: Solve for x
    x = 2,206,911.98/1,639.05
  6. Step 6: Final answer
    x = 1,346.46

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