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Finding the Fourth Proportional to 2,056.80, 3,085.01 and 576.16

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Solution

The fourth proportional to 2,056.80, 3,085.01 and 576.16 is: 864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.80 : 3,085.01 = 576.16 : x
  2. Step 2: Convert to fraction form
    2,056.80/3,085.01 = 576.16/x
  3. Step 3: Cross multiply
    2,056.80x = 3,085.01 × 576.16
  4. Step 4: Simplify right side
    2,056.80x = 1,777,442.50
  5. Step 5: Solve for x
    x = 1,777,442.50/2,056.80
  6. Step 6: Final answer
    x = 864.18

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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.