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Finding the Fourth Proportional to 1,294.06, 1,937.43 and 946.30

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Solution

The fourth proportional to 1,294.06, 1,937.43 and 946.30 is: 1,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.06 : 1,937.43 = 946.30 : x
  2. Step 2: Convert to fraction form
    1,294.06/1,937.43 = 946.30/x
  3. Step 3: Cross multiply
    1,294.06x = 1,937.43 × 946.30
  4. Step 4: Simplify right side
    1,294.06x = 1,833,390.01
  5. Step 5: Solve for x
    x = 1,833,390.01/1,294.06
  6. Step 6: Final answer
    x = 1,416.77

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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.