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Finding the Fourth Proportional to 1,411.71, 1,947.87 and 969.45

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Solution

The fourth proportional to 1,411.71, 1,947.87 and 969.45 is: 1,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.71 : 1,947.87 = 969.45 : x
  2. Step 2: Convert to fraction form
    1,411.71/1,947.87 = 969.45/x
  3. Step 3: Cross multiply
    1,411.71x = 1,947.87 × 969.45
  4. Step 4: Simplify right side
    1,411.71x = 1,888,362.57
  5. Step 5: Solve for x
    x = 1,888,362.57/1,411.71
  6. Step 6: Final answer
    x = 1,337.64

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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.