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Finding the Fourth Proportional to 1,609.65, 2,415.19 and 1,024.50

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Solution

The fourth proportional to 1,609.65, 2,415.19 and 1,024.50 is: 1,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.65 : 2,415.19 = 1,024.50 : x
  2. Step 2: Convert to fraction form
    1,609.65/2,415.19 = 1,024.50/x
  3. Step 3: Cross multiply
    1,609.65x = 2,415.19 × 1,024.50
  4. Step 4: Simplify right side
    1,609.65x = 2,474,359.87
  5. Step 5: Solve for x
    x = 2,474,359.87/1,609.65
  6. Step 6: Final answer
    x = 1,537.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.