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Finding the Fourth Proportional to 2,150.70, 2,973.38 and 1,590.29

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Solution

The fourth proportional to 2,150.70, 2,973.38 and 1,590.29 is: 2,198.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.70 : 2,973.38 = 1,590.29 : x
  2. Step 2: Convert to fraction form
    2,150.70/2,973.38 = 1,590.29/x
  3. Step 3: Cross multiply
    2,150.70x = 2,973.38 × 1,590.29
  4. Step 4: Simplify right side
    2,150.70x = 4,728,525.59
  5. Step 5: Solve for x
    x = 4,728,525.59/2,150.70
  6. Step 6: Final answer
    x = 2,198.60

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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.