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Finding the Fourth Proportional to 1,957.14, 2,935.76 and 916.89

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Solution

The fourth proportional to 1,957.14, 2,935.76 and 916.89 is: 1,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.14 : 2,935.76 = 916.89 : x
  2. Step 2: Convert to fraction form
    1,957.14/2,935.76 = 916.89/x
  3. Step 3: Cross multiply
    1,957.14x = 2,935.76 × 916.89
  4. Step 4: Simplify right side
    1,957.14x = 2,691,768.99
  5. Step 5: Solve for x
    x = 2,691,768.99/1,957.14
  6. Step 6: Final answer
    x = 1,375.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.