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Finding the Fourth Proportional to 2,057.10, 3,084.71 and 595.91

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Solution

The fourth proportional to 2,057.10, 3,084.71 and 595.91 is: 893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.10 : 3,084.71 = 595.91 : x
  2. Step 2: Convert to fraction form
    2,057.10/3,084.71 = 595.91/x
  3. Step 3: Cross multiply
    2,057.10x = 3,084.71 × 595.91
  4. Step 4: Simplify right side
    2,057.10x = 1,838,191.13
  5. Step 5: Solve for x
    x = 1,838,191.13/2,057.10
  6. Step 6: Final answer
    x = 893.58

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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.