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Finding the Fourth Proportional to 3,053.14, 4,580.02 and 832.02

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Solution

The fourth proportional to 3,053.14, 4,580.02 and 832.02 is: 1,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.14 : 4,580.02 = 832.02 : x
  2. Step 2: Convert to fraction form
    3,053.14/4,580.02 = 832.02/x
  3. Step 3: Cross multiply
    3,053.14x = 4,580.02 × 832.02
  4. Step 4: Simplify right side
    3,053.14x = 3,810,668.24
  5. Step 5: Solve for x
    x = 3,810,668.24/3,053.14
  6. Step 6: Final answer
    x = 1,248.11

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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.