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Finding the Fourth Proportional to 1,346.40, 1,856.88 and 997.92

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Solution

The fourth proportional to 1,346.40, 1,856.88 and 997.92 is: 1,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.40 : 1,856.88 = 997.92 : x
  2. Step 2: Convert to fraction form
    1,346.40/1,856.88 = 997.92/x
  3. Step 3: Cross multiply
    1,346.40x = 1,856.88 × 997.92
  4. Step 4: Simplify right side
    1,346.40x = 1,853,017.69
  5. Step 5: Solve for x
    x = 1,853,017.69/1,346.40
  6. Step 6: Final answer
    x = 1,376.28

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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.