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Finding the Fourth Proportional to 1,869.74, 2,785.42 and 1,785.50

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Solution

The fourth proportional to 1,869.74, 2,785.42 and 1,785.50 is: 2,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.74 : 2,785.42 = 1,785.50 : x
  2. Step 2: Convert to fraction form
    1,869.74/2,785.42 = 1,785.50/x
  3. Step 3: Cross multiply
    1,869.74x = 2,785.42 × 1,785.50
  4. Step 4: Simplify right side
    1,869.74x = 4,973,367.41
  5. Step 5: Solve for x
    x = 4,973,367.41/1,869.74
  6. Step 6: Final answer
    x = 2,659.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.