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Finding the Fourth Proportional to 3,033.52, 4,548.66 and 953.14

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Solution

The fourth proportional to 3,033.52, 4,548.66 and 953.14 is: 1,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.52 : 4,548.66 = 953.14 : x
  2. Step 2: Convert to fraction form
    3,033.52/4,548.66 = 953.14/x
  3. Step 3: Cross multiply
    3,033.52x = 4,548.66 × 953.14
  4. Step 4: Simplify right side
    3,033.52x = 4,335,509.79
  5. Step 5: Solve for x
    x = 4,335,509.79/3,033.52
  6. Step 6: Final answer
    x = 1,429.20

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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.