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Finding the Fourth Proportional to 3,345.34, 5,016.56 and 1,785.00

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Solution

The fourth proportional to 3,345.34, 5,016.56 and 1,785.00 is: 2,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.34 : 5,016.56 = 1,785.00 : x
  2. Step 2: Convert to fraction form
    3,345.34/5,016.56 = 1,785.00/x
  3. Step 3: Cross multiply
    3,345.34x = 5,016.56 × 1,785.00
  4. Step 4: Simplify right side
    3,345.34x = 8,954,538.56
  5. Step 5: Solve for x
    x = 8,954,538.56/3,345.34
  6. Step 6: Final answer
    x = 2,676.72

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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.