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Finding the Fourth Proportional to 2,298.65, 3,447.97 and 837.81

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Solution

The fourth proportional to 2,298.65, 3,447.97 and 837.81 is: 1,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.65 : 3,447.97 = 837.81 : x
  2. Step 2: Convert to fraction form
    2,298.65/3,447.97 = 837.81/x
  3. Step 3: Cross multiply
    2,298.65x = 3,447.97 × 837.81
  4. Step 4: Simplify right side
    2,298.65x = 2,888,741.65
  5. Step 5: Solve for x
    x = 2,888,741.65/2,298.65
  6. Step 6: Final answer
    x = 1,256.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.