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Finding the Fourth Proportional to 2,972.63, 4,467.03 and 1,586.95

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Solution

The fourth proportional to 2,972.63, 4,467.03 and 1,586.95 is: 2,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.63 : 4,467.03 = 1,586.95 : x
  2. Step 2: Convert to fraction form
    2,972.63/4,467.03 = 1,586.95/x
  3. Step 3: Cross multiply
    2,972.63x = 4,467.03 × 1,586.95
  4. Step 4: Simplify right side
    2,972.63x = 7,088,953.26
  5. Step 5: Solve for x
    x = 7,088,953.26/2,972.63
  6. Step 6: Final answer
    x = 2,384.74

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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.