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Finding the Fourth Proportional to 2,471, 3,707.24 and 1,430.76

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Solution

The fourth proportional to 2,471, 3,707.24 and 1,430.76 is: 2,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471 : 3,707.24 = 1,430.76 : x
  2. Step 2: Convert to fraction form
    2,471/3,707.24 = 1,430.76/x
  3. Step 3: Cross multiply
    2,471x = 3,707.24 × 1,430.76
  4. Step 4: Simplify right side
    2,471x = 5,304,170.70
  5. Step 5: Solve for x
    x = 5,304,170.70/2,471
  6. Step 6: Final answer
    x = 2,146.57

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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.