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Finding the Fourth Proportional to 2,572.65, 3,551.72 and 1,785.33

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Solution

The fourth proportional to 2,572.65, 3,551.72 and 1,785.33 is: 2,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.65 : 3,551.72 = 1,785.33 : x
  2. Step 2: Convert to fraction form
    2,572.65/3,551.72 = 1,785.33/x
  3. Step 3: Cross multiply
    2,572.65x = 3,551.72 × 1,785.33
  4. Step 4: Simplify right side
    2,572.65x = 6,340,983.34
  5. Step 5: Solve for x
    x = 6,340,983.34/2,572.65
  6. Step 6: Final answer
    x = 2,464.77

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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.