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Finding the Fourth Proportional to 2,048.21, 3,073.31 and 953.34

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Solution

The fourth proportional to 2,048.21, 3,073.31 and 953.34 is: 1,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.21 : 3,073.31 = 953.34 : x
  2. Step 2: Convert to fraction form
    2,048.21/3,073.31 = 953.34/x
  3. Step 3: Cross multiply
    2,048.21x = 3,073.31 × 953.34
  4. Step 4: Simplify right side
    2,048.21x = 2,929,909.36
  5. Step 5: Solve for x
    x = 2,929,909.36/2,048.21
  6. Step 6: Final answer
    x = 1,430.47

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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.