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Finding the Fourth Proportional to 1,807.15, 2,710.72 and 574.56

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Solution

The fourth proportional to 1,807.15, 2,710.72 and 574.56 is: 861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.15 : 2,710.72 = 574.56 : x
  2. Step 2: Convert to fraction form
    1,807.15/2,710.72 = 574.56/x
  3. Step 3: Cross multiply
    1,807.15x = 2,710.72 × 574.56
  4. Step 4: Simplify right side
    1,807.15x = 1,557,457.73
  5. Step 5: Solve for x
    x = 1,557,457.73/1,807.15
  6. Step 6: Final answer
    x = 861.83

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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.