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Finding the Fourth Proportional to 1,785.03, 2,462.72 and 1,364.70

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Solution

The fourth proportional to 1,785.03, 2,462.72 and 1,364.70 is: 1,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.03 : 2,462.72 = 1,364.70 : x
  2. Step 2: Convert to fraction form
    1,785.03/2,462.72 = 1,364.70/x
  3. Step 3: Cross multiply
    1,785.03x = 2,462.72 × 1,364.70
  4. Step 4: Simplify right side
    1,785.03x = 3,360,867.16
  5. Step 5: Solve for x
    x = 3,360,867.16/1,785.03
  6. Step 6: Final answer
    x = 1,882.81

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