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Finding the Fourth Proportional to 1,294.42, 1,942.64 and 919.16

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Solution

The fourth proportional to 1,294.42, 1,942.64 and 919.16 is: 1,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.42 : 1,942.64 = 919.16 : x
  2. Step 2: Convert to fraction form
    1,294.42/1,942.64 = 919.16/x
  3. Step 3: Cross multiply
    1,294.42x = 1,942.64 × 919.16
  4. Step 4: Simplify right side
    1,294.42x = 1,785,582.67
  5. Step 5: Solve for x
    x = 1,785,582.67/1,294.42
  6. Step 6: Final answer
    x = 1,379.45

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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.