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Finding the Fourth Proportional to 2,246.76, 3,368.52 and 785.52

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Solution

The fourth proportional to 2,246.76, 3,368.52 and 785.52 is: 1,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.76 : 3,368.52 = 785.52 : x
  2. Step 2: Convert to fraction form
    2,246.76/3,368.52 = 785.52/x
  3. Step 3: Cross multiply
    2,246.76x = 3,368.52 × 785.52
  4. Step 4: Simplify right side
    2,246.76x = 2,646,039.83
  5. Step 5: Solve for x
    x = 2,646,039.83/2,246.76
  6. Step 6: Final answer
    x = 1,177.71

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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.