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Finding the Fourth Proportional to 2,159.30, 3,223.28 and 2,007.38

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Solution

The fourth proportional to 2,159.30, 3,223.28 and 2,007.38 is: 2,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.30 : 3,223.28 = 2,007.38 : x
  2. Step 2: Convert to fraction form
    2,159.30/3,223.28 = 2,007.38/x
  3. Step 3: Cross multiply
    2,159.30x = 3,223.28 × 2,007.38
  4. Step 4: Simplify right side
    2,159.30x = 6,470,347.81
  5. Step 5: Solve for x
    x = 6,470,347.81/2,159.30
  6. Step 6: Final answer
    x = 2,996.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.