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Finding the Fourth Proportional to 1,807.26, 2,712.47 and 883.50

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Solution

The fourth proportional to 1,807.26, 2,712.47 and 883.50 is: 1,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.26 : 2,712.47 = 883.50 : x
  2. Step 2: Convert to fraction form
    1,807.26/2,712.47 = 883.50/x
  3. Step 3: Cross multiply
    1,807.26x = 2,712.47 × 883.50
  4. Step 4: Simplify right side
    1,807.26x = 2,396,462.83
  5. Step 5: Solve for x
    x = 2,396,462.83/1,807.26
  6. Step 6: Final answer
    x = 1,326.02

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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.