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Finding the Fourth Proportional to 1,410.82, 1,946.57 and 878.87

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Solution

The fourth proportional to 1,410.82, 1,946.57 and 878.87 is: 1,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.82 : 1,946.57 = 878.87 : x
  2. Step 2: Convert to fraction form
    1,410.82/1,946.57 = 878.87/x
  3. Step 3: Cross multiply
    1,410.82x = 1,946.57 × 878.87
  4. Step 4: Simplify right side
    1,410.82x = 1,710,782.45
  5. Step 5: Solve for x
    x = 1,710,782.45/1,410.82
  6. Step 6: Final answer
    x = 1,212.62

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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.