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Finding the Fourth Proportional to 1,350.68, 2,024.19 and 887.76

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Solution

The fourth proportional to 1,350.68, 2,024.19 and 887.76 is: 1,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.68 : 2,024.19 = 887.76 : x
  2. Step 2: Convert to fraction form
    1,350.68/2,024.19 = 887.76/x
  3. Step 3: Cross multiply
    1,350.68x = 2,024.19 × 887.76
  4. Step 4: Simplify right side
    1,350.68x = 1,796,994.91
  5. Step 5: Solve for x
    x = 1,796,994.91/1,350.68
  6. Step 6: Final answer
    x = 1,330.44

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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.