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Finding the Fourth Proportional to 2,053, 3,079.50 and 514

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Solution

The fourth proportional to 2,053, 3,079.50 and 514 is: 771

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053 : 3,079.50 = 514 : x
  2. Step 2: Convert to fraction form
    2,053/3,079.50 = 514/x
  3. Step 3: Cross multiply
    2,053x = 3,079.50 × 514
  4. Step 4: Simplify right side
    2,053x = 1,582,863
  5. Step 5: Solve for x
    x = 1,582,863/2,053
  6. Step 6: Final answer
    x = 771

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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.