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Finding the Fourth Proportional to 1,557.62, 2,336.22 and 462.10

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Solution

The fourth proportional to 1,557.62, 2,336.22 and 462.10 is: 693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.62 : 2,336.22 = 462.10 : x
  2. Step 2: Convert to fraction form
    1,557.62/2,336.22 = 462.10/x
  3. Step 3: Cross multiply
    1,557.62x = 2,336.22 × 462.10
  4. Step 4: Simplify right side
    1,557.62x = 1,079,567.26
  5. Step 5: Solve for x
    x = 1,079,567.26/1,557.62
  6. Step 6: Final answer
    x = 693.09

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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.