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Finding the Fourth Proportional to 1,378.24, 2,066.80 and 894.40

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Solution

The fourth proportional to 1,378.24, 2,066.80 and 894.40 is: 1,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.24 : 2,066.80 = 894.40 : x
  2. Step 2: Convert to fraction form
    1,378.24/2,066.80 = 894.40/x
  3. Step 3: Cross multiply
    1,378.24x = 2,066.80 × 894.40
  4. Step 4: Simplify right side
    1,378.24x = 1,848,545.92
  5. Step 5: Solve for x
    x = 1,848,545.92/1,378.24
  6. Step 6: Final answer
    x = 1,341.24

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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.