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Finding the Fourth Proportional to 2,937.01, 4,053 and 1,610.68

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Solution

The fourth proportional to 2,937.01, 4,053 and 1,610.68 is: 2,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.01 : 4,053 = 1,610.68 : x
  2. Step 2: Convert to fraction form
    2,937.01/4,053 = 1,610.68/x
  3. Step 3: Cross multiply
    2,937.01x = 4,053 × 1,610.68
  4. Step 4: Simplify right side
    2,937.01x = 6,528,086.04
  5. Step 5: Solve for x
    x = 6,528,086.04/2,937.01
  6. Step 6: Final answer
    x = 2,222.70

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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.