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Finding the Fourth Proportional to 1,799.72, 2,483.74 and 1,013.77

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Solution

The fourth proportional to 1,799.72, 2,483.74 and 1,013.77 is: 1,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.72 : 2,483.74 = 1,013.77 : x
  2. Step 2: Convert to fraction form
    1,799.72/2,483.74 = 1,013.77/x
  3. Step 3: Cross multiply
    1,799.72x = 2,483.74 × 1,013.77
  4. Step 4: Simplify right side
    1,799.72x = 2,517,928.65
  5. Step 5: Solve for x
    x = 2,517,928.65/1,799.72
  6. Step 6: Final answer
    x = 1,399.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.