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Finding the Fourth Proportional to 1,668.91, 2,303.04 and 922.84

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Solution

The fourth proportional to 1,668.91, 2,303.04 and 922.84 is: 1,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.91 : 2,303.04 = 922.84 : x
  2. Step 2: Convert to fraction form
    1,668.91/2,303.04 = 922.84/x
  3. Step 3: Cross multiply
    1,668.91x = 2,303.04 × 922.84
  4. Step 4: Simplify right side
    1,668.91x = 2,125,337.43
  5. Step 5: Solve for x
    x = 2,125,337.43/1,668.91
  6. Step 6: Final answer
    x = 1,273.49

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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.