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Finding the Fourth Proportional to 2,153.01, 2,970.92 and 1,208.90

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Solution

The fourth proportional to 2,153.01, 2,970.92 and 1,208.90 is: 1,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.01 : 2,970.92 = 1,208.90 : x
  2. Step 2: Convert to fraction form
    2,153.01/2,970.92 = 1,208.90/x
  3. Step 3: Cross multiply
    2,153.01x = 2,970.92 × 1,208.90
  4. Step 4: Simplify right side
    2,153.01x = 3,591,561.52
  5. Step 5: Solve for x
    x = 3,591,561.52/2,153.01
  6. Step 6: Final answer
    x = 1,668.16

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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.