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Finding the Fourth Proportional to 1,652.81, 2,475.87 and 829.95

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Solution

The fourth proportional to 1,652.81, 2,475.87 and 829.95 is: 1,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.81 : 2,475.87 = 829.95 : x
  2. Step 2: Convert to fraction form
    1,652.81/2,475.87 = 829.95/x
  3. Step 3: Cross multiply
    1,652.81x = 2,475.87 × 829.95
  4. Step 4: Simplify right side
    1,652.81x = 2,054,835.91
  5. Step 5: Solve for x
    x = 2,054,835.91/1,652.81
  6. Step 6: Final answer
    x = 1,243.24

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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.