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Finding the Fourth Proportional to 2,094.70, 3,142.03 and 555.70

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Solution

The fourth proportional to 2,094.70, 3,142.03 and 555.70 is: 833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.70 : 3,142.03 = 555.70 : x
  2. Step 2: Convert to fraction form
    2,094.70/3,142.03 = 555.70/x
  3. Step 3: Cross multiply
    2,094.70x = 3,142.03 × 555.70
  4. Step 4: Simplify right side
    2,094.70x = 1,746,026.07
  5. Step 5: Solve for x
    x = 1,746,026.07/2,094.70
  6. Step 6: Final answer
    x = 833.54

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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.