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Finding the Fourth Proportional to 2,468.07, 3,406.74 and 1,473

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Solution

The fourth proportional to 2,468.07, 3,406.74 and 1,473 is: 2,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.07 : 3,406.74 = 1,473 : x
  2. Step 2: Convert to fraction form
    2,468.07/3,406.74 = 1,473/x
  3. Step 3: Cross multiply
    2,468.07x = 3,406.74 × 1,473
  4. Step 4: Simplify right side
    2,468.07x = 5,018,128.02
  5. Step 5: Solve for x
    x = 5,018,128.02/2,468.07
  6. Step 6: Final answer
    x = 2,033.22

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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.