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Finding the Fourth Proportional to 2,472.93, 3,412.65 and 1,425

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Solution

The fourth proportional to 2,472.93, 3,412.65 and 1,425 is: 1,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.93 : 3,412.65 = 1,425 : x
  2. Step 2: Convert to fraction form
    2,472.93/3,412.65 = 1,425/x
  3. Step 3: Cross multiply
    2,472.93x = 3,412.65 × 1,425
  4. Step 4: Simplify right side
    2,472.93x = 4,863,026.25
  5. Step 5: Solve for x
    x = 4,863,026.25/2,472.93
  6. Step 6: Final answer
    x = 1,966.50

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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.