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Finding the Fourth Proportional to 1,566.83, 2,351.37 and 1,047.83

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Solution

The fourth proportional to 1,566.83, 2,351.37 and 1,047.83 is: 1,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.83 : 2,351.37 = 1,047.83 : x
  2. Step 2: Convert to fraction form
    1,566.83/2,351.37 = 1,047.83/x
  3. Step 3: Cross multiply
    1,566.83x = 2,351.37 × 1,047.83
  4. Step 4: Simplify right side
    1,566.83x = 2,463,824.27
  5. Step 5: Solve for x
    x = 2,463,824.27/1,566.83
  6. Step 6: Final answer
    x = 1,572.49

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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.