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Finding the Fourth Proportional to 2,077.88, 3,117.02 and 538.88

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Solution

The fourth proportional to 2,077.88, 3,117.02 and 538.88 is: 808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.88 : 3,117.02 = 538.88 : x
  2. Step 2: Convert to fraction form
    2,077.88/3,117.02 = 538.88/x
  3. Step 3: Cross multiply
    2,077.88x = 3,117.02 × 538.88
  4. Step 4: Simplify right side
    2,077.88x = 1,679,681.46
  5. Step 5: Solve for x
    x = 1,679,681.46/2,077.88
  6. Step 6: Final answer
    x = 808.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.