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Finding the Fourth Proportional to 2,473.91, 3,704.71 and 1,430.56

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Solution

The fourth proportional to 2,473.91, 3,704.71 and 1,430.56 is: 2,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.91 : 3,704.71 = 1,430.56 : x
  2. Step 2: Convert to fraction form
    2,473.91/3,704.71 = 1,430.56/x
  3. Step 3: Cross multiply
    2,473.91x = 3,704.71 × 1,430.56
  4. Step 4: Simplify right side
    2,473.91x = 5,299,809.94
  5. Step 5: Solve for x
    x = 5,299,809.94/2,473.91
  6. Step 6: Final answer
    x = 2,142.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.