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Finding the Fourth Proportional to 1,576.62, 2,364.91 and 537.35

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Solution

The fourth proportional to 1,576.62, 2,364.91 and 537.35 is: 806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.62 : 2,364.91 = 537.35 : x
  2. Step 2: Convert to fraction form
    1,576.62/2,364.91 = 537.35/x
  3. Step 3: Cross multiply
    1,576.62x = 2,364.91 × 537.35
  4. Step 4: Simplify right side
    1,576.62x = 1,270,780.29
  5. Step 5: Solve for x
    x = 1,270,780.29/1,576.62
  6. Step 6: Final answer
    x = 806.01

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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.