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Finding the Fourth Proportional to 2,700.02, 4,051.11 and 1,465.98

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Solution

The fourth proportional to 2,700.02, 4,051.11 and 1,465.98 is: 2,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.02 : 4,051.11 = 1,465.98 : x
  2. Step 2: Convert to fraction form
    2,700.02/4,051.11 = 1,465.98/x
  3. Step 3: Cross multiply
    2,700.02x = 4,051.11 × 1,465.98
  4. Step 4: Simplify right side
    2,700.02x = 5,938,846.24
  5. Step 5: Solve for x
    x = 5,938,846.24/2,700.02
  6. Step 6: Final answer
    x = 2,199.56

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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.