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Finding the Fourth Proportional to 1,785.89, 2,676.41 and 1,135.46

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Solution

The fourth proportional to 1,785.89, 2,676.41 and 1,135.46 is: 1,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.89 : 2,676.41 = 1,135.46 : x
  2. Step 2: Convert to fraction form
    1,785.89/2,676.41 = 1,135.46/x
  3. Step 3: Cross multiply
    1,785.89x = 2,676.41 × 1,135.46
  4. Step 4: Simplify right side
    1,785.89x = 3,038,957.51
  5. Step 5: Solve for x
    x = 3,038,957.51/1,785.89
  6. Step 6: Final answer
    x = 1,701.65

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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.