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Finding the Fourth Proportional to 1,604.10, 2,402.10 and 1,531.20

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Solution

The fourth proportional to 1,604.10, 2,402.10 and 1,531.20 is: 2,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.10 : 2,402.10 = 1,531.20 : x
  2. Step 2: Convert to fraction form
    1,604.10/2,402.10 = 1,531.20/x
  3. Step 3: Cross multiply
    1,604.10x = 2,402.10 × 1,531.20
  4. Step 4: Simplify right side
    1,604.10x = 3,678,095.52
  5. Step 5: Solve for x
    x = 3,678,095.52/1,604.10
  6. Step 6: Final answer
    x = 2,292.93

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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.