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Finding the Fourth Proportional to 1,670, 2,304.47 and 923.90

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Solution

The fourth proportional to 1,670, 2,304.47 and 923.90 is: 1,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670 : 2,304.47 = 923.90 : x
  2. Step 2: Convert to fraction form
    1,670/2,304.47 = 923.90/x
  3. Step 3: Cross multiply
    1,670x = 2,304.47 × 923.90
  4. Step 4: Simplify right side
    1,670x = 2,129,099.83
  5. Step 5: Solve for x
    x = 2,129,099.83/1,670
  6. Step 6: Final answer
    x = 1,274.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.