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Finding the Fourth Proportional to 2,473.08, 3,412.80 and 1,425

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Solution

The fourth proportional to 2,473.08, 3,412.80 and 1,425 is: 1,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.08 : 3,412.80 = 1,425 : x
  2. Step 2: Convert to fraction form
    2,473.08/3,412.80 = 1,425/x
  3. Step 3: Cross multiply
    2,473.08x = 3,412.80 × 1,425
  4. Step 4: Simplify right side
    2,473.08x = 4,863,240
  5. Step 5: Solve for x
    x = 4,863,240/2,473.08
  6. Step 6: Final answer
    x = 1,966.47

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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.