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Finding the Fourth Proportional to 1,419.84, 1,960.32 and 916.62

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Solution

The fourth proportional to 1,419.84, 1,960.32 and 916.62 is: 1,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.84 : 1,960.32 = 916.62 : x
  2. Step 2: Convert to fraction form
    1,419.84/1,960.32 = 916.62/x
  3. Step 3: Cross multiply
    1,419.84x = 1,960.32 × 916.62
  4. Step 4: Simplify right side
    1,419.84x = 1,796,868.52
  5. Step 5: Solve for x
    x = 1,796,868.52/1,419.84
  6. Step 6: Final answer
    x = 1,265.54

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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.