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Finding the Fourth Proportional to 1,410.78, 2,116.04 and 922.76

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Solution

The fourth proportional to 1,410.78, 2,116.04 and 922.76 is: 1,384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.78 : 2,116.04 = 922.76 : x
  2. Step 2: Convert to fraction form
    1,410.78/2,116.04 = 922.76/x
  3. Step 3: Cross multiply
    1,410.78x = 2,116.04 × 922.76
  4. Step 4: Simplify right side
    1,410.78x = 1,952,581.88
  5. Step 5: Solve for x
    x = 1,952,581.88/1,410.78
  6. Step 6: Final answer
    x = 1,384.04

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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.