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Finding the Fourth Proportional to 2,639.47, 3,642.10 and 1,520.01

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Solution

The fourth proportional to 2,639.47, 3,642.10 and 1,520.01 is: 2,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.47 : 3,642.10 = 1,520.01 : x
  2. Step 2: Convert to fraction form
    2,639.47/3,642.10 = 1,520.01/x
  3. Step 3: Cross multiply
    2,639.47x = 3,642.10 × 1,520.01
  4. Step 4: Simplify right side
    2,639.47x = 5,536,028.42
  5. Step 5: Solve for x
    x = 5,536,028.42/2,639.47
  6. Step 6: Final answer
    x = 2,097.40

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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.