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Finding the Fourth Proportional to 2,652.58, 3,659.61 and 1,590.40

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Solution

The fourth proportional to 2,652.58, 3,659.61 and 1,590.40 is: 2,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.58 : 3,659.61 = 1,590.40 : x
  2. Step 2: Convert to fraction form
    2,652.58/3,659.61 = 1,590.40/x
  3. Step 3: Cross multiply
    2,652.58x = 3,659.61 × 1,590.40
  4. Step 4: Simplify right side
    2,652.58x = 5,820,243.74
  5. Step 5: Solve for x
    x = 5,820,243.74/2,652.58
  6. Step 6: Final answer
    x = 2,194.18

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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.