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Finding the Fourth Proportional to 2,700, 4,025.43 and 2,534.76

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Solution

The fourth proportional to 2,700, 4,025.43 and 2,534.76 is: 3,779.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700 : 4,025.43 = 2,534.76 : x
  2. Step 2: Convert to fraction form
    2,700/4,025.43 = 2,534.76/x
  3. Step 3: Cross multiply
    2,700x = 4,025.43 × 2,534.76
  4. Step 4: Simplify right side
    2,700x = 10,203,498.95
  5. Step 5: Solve for x
    x = 10,203,498.95/2,700
  6. Step 6: Final answer
    x = 3,779.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.