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Finding the Fourth Proportional to 1,689.90, 2,332.01 and 923.33

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Solution

The fourth proportional to 1,689.90, 2,332.01 and 923.33 is: 1,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.90 : 2,332.01 = 923.33 : x
  2. Step 2: Convert to fraction form
    1,689.90/2,332.01 = 923.33/x
  3. Step 3: Cross multiply
    1,689.90x = 2,332.01 × 923.33
  4. Step 4: Simplify right side
    1,689.90x = 2,153,198.52
  5. Step 5: Solve for x
    x = 2,153,198.52/1,689.90
  6. Step 6: Final answer
    x = 1,274.16

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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.