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Finding the Fourth Proportional to 1,785.17, 2,674.64 and 1,237.71

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Solution

The fourth proportional to 1,785.17, 2,674.64 and 1,237.71 is: 1,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.17 : 2,674.64 = 1,237.71 : x
  2. Step 2: Convert to fraction form
    1,785.17/2,674.64 = 1,237.71/x
  3. Step 3: Cross multiply
    1,785.17x = 2,674.64 × 1,237.71
  4. Step 4: Simplify right side
    1,785.17x = 3,310,422.49
  5. Step 5: Solve for x
    x = 3,310,422.49/1,785.17
  6. Step 6: Final answer
    x = 1,854.41

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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.