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Finding the Fourth Proportional to 2,652.35, 3,659.96 and 1,533.65

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Solution

The fourth proportional to 2,652.35, 3,659.96 and 1,533.65 is: 2,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.35 : 3,659.96 = 1,533.65 : x
  2. Step 2: Convert to fraction form
    2,652.35/3,659.96 = 1,533.65/x
  3. Step 3: Cross multiply
    2,652.35x = 3,659.96 × 1,533.65
  4. Step 4: Simplify right side
    2,652.35x = 5,613,097.65
  5. Step 5: Solve for x
    x = 5,613,097.65/2,652.35
  6. Step 6: Final answer
    x = 2,116.27

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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.