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Finding the Fourth Proportional to 2,471.89, 3,707.70 and 623

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Solution

The fourth proportional to 2,471.89, 3,707.70 and 623 is: 934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.89 : 3,707.70 = 623 : x
  2. Step 2: Convert to fraction form
    2,471.89/3,707.70 = 623/x
  3. Step 3: Cross multiply
    2,471.89x = 3,707.70 × 623
  4. Step 4: Simplify right side
    2,471.89x = 2,309,897.10
  5. Step 5: Solve for x
    x = 2,309,897.10/2,471.89
  6. Step 6: Final answer
    x = 934.47

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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.