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Finding the Fourth Proportional to 2,364.52, 3,546.75 and 1,065.07

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Solution

The fourth proportional to 2,364.52, 3,546.75 and 1,065.07 is: 1,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.52 : 3,546.75 = 1,065.07 : x
  2. Step 2: Convert to fraction form
    2,364.52/3,546.75 = 1,065.07/x
  3. Step 3: Cross multiply
    2,364.52x = 3,546.75 × 1,065.07
  4. Step 4: Simplify right side
    2,364.52x = 3,777,537.02
  5. Step 5: Solve for x
    x = 3,777,537.02/2,364.52
  6. Step 6: Final answer
    x = 1,597.59

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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.