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Finding the Fourth Proportional to 1,873.96, 2,806.33 and 948.24

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Solution

The fourth proportional to 1,873.96, 2,806.33 and 948.24 is: 1,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.96 : 2,806.33 = 948.24 : x
  2. Step 2: Convert to fraction form
    1,873.96/2,806.33 = 948.24/x
  3. Step 3: Cross multiply
    1,873.96x = 2,806.33 × 948.24
  4. Step 4: Simplify right side
    1,873.96x = 2,661,074.36
  5. Step 5: Solve for x
    x = 2,661,074.36/1,873.96
  6. Step 6: Final answer
    x = 1,420.03

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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.