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Finding the Fourth Proportional to 2,972.61, 4,462.97 and 1,674.99

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Solution

The fourth proportional to 2,972.61, 4,462.97 and 1,674.99 is: 2,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.61 : 4,462.97 = 1,674.99 : x
  2. Step 2: Convert to fraction form
    2,972.61/4,462.97 = 1,674.99/x
  3. Step 3: Cross multiply
    2,972.61x = 4,462.97 × 1,674.99
  4. Step 4: Simplify right side
    2,972.61x = 7,475,421.75
  5. Step 5: Solve for x
    x = 7,475,421.75/2,972.61
  6. Step 6: Final answer
    x = 2,514.77

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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.