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Finding the Fourth Proportional to 1,947.34, 2,922 and 1,126.36

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Solution

The fourth proportional to 1,947.34, 2,922 and 1,126.36 is: 1,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.34 : 2,922 = 1,126.36 : x
  2. Step 2: Convert to fraction form
    1,947.34/2,922 = 1,126.36/x
  3. Step 3: Cross multiply
    1,947.34x = 2,922 × 1,126.36
  4. Step 4: Simplify right side
    1,947.34x = 3,291,223.92
  5. Step 5: Solve for x
    x = 3,291,223.92/1,947.34
  6. Step 6: Final answer
    x = 1,690.11

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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.