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Finding the Fourth Proportional to 3,051.99, 4,210.17 and 1,931.02

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Solution

The fourth proportional to 3,051.99, 4,210.17 and 1,931.02 is: 2,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.99 : 4,210.17 = 1,931.02 : x
  2. Step 2: Convert to fraction form
    3,051.99/4,210.17 = 1,931.02/x
  3. Step 3: Cross multiply
    3,051.99x = 4,210.17 × 1,931.02
  4. Step 4: Simplify right side
    3,051.99x = 8,129,922.47
  5. Step 5: Solve for x
    x = 8,129,922.47/3,051.99
  6. Step 6: Final answer
    x = 2,663.81

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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.