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Finding the Fourth Proportional to 2,052.96, 3,079.42 and 592.10

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Solution

The fourth proportional to 2,052.96, 3,079.42 and 592.10 is: 888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.96 : 3,079.42 = 592.10 : x
  2. Step 2: Convert to fraction form
    2,052.96/3,079.42 = 592.10/x
  3. Step 3: Cross multiply
    2,052.96x = 3,079.42 × 592.10
  4. Step 4: Simplify right side
    2,052.96x = 1,823,324.58
  5. Step 5: Solve for x
    x = 1,823,324.58/2,052.96
  6. Step 6: Final answer
    x = 888.14

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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.