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Finding the Fourth Proportional to 2,085.23, 3,127.64 and 624.39

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Solution

The fourth proportional to 2,085.23, 3,127.64 and 624.39 is: 936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.23 : 3,127.64 = 624.39 : x
  2. Step 2: Convert to fraction form
    2,085.23/3,127.64 = 624.39/x
  3. Step 3: Cross multiply
    2,085.23x = 3,127.64 × 624.39
  4. Step 4: Simplify right side
    2,085.23x = 1,952,864.02
  5. Step 5: Solve for x
    x = 1,952,864.02/2,085.23
  6. Step 6: Final answer
    x = 936.52

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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.