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Finding the Fourth Proportional to 2,473.02, 3,710.07 and 829.53

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Solution

The fourth proportional to 2,473.02, 3,710.07 and 829.53 is: 1,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.02 : 3,710.07 = 829.53 : x
  2. Step 2: Convert to fraction form
    2,473.02/3,710.07 = 829.53/x
  3. Step 3: Cross multiply
    2,473.02x = 3,710.07 × 829.53
  4. Step 4: Simplify right side
    2,473.02x = 3,077,614.37
  5. Step 5: Solve for x
    x = 3,077,614.37/2,473.02
  6. Step 6: Final answer
    x = 1,244.48

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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.