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Finding the Fourth Proportional to 2,032.54, 3,048.94 and 716.13

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Solution

The fourth proportional to 2,032.54, 3,048.94 and 716.13 is: 1,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.54 : 3,048.94 = 716.13 : x
  2. Step 2: Convert to fraction form
    2,032.54/3,048.94 = 716.13/x
  3. Step 3: Cross multiply
    2,032.54x = 3,048.94 × 716.13
  4. Step 4: Simplify right side
    2,032.54x = 2,183,437.40
  5. Step 5: Solve for x
    x = 2,183,437.40/2,032.54
  6. Step 6: Final answer
    x = 1,074.24

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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.