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Finding the Fourth Proportional to 1,967.89, 2,951.85 and 507.07

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Solution

The fourth proportional to 1,967.89, 2,951.85 and 507.07 is: 760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.89 : 2,951.85 = 507.07 : x
  2. Step 2: Convert to fraction form
    1,967.89/2,951.85 = 507.07/x
  3. Step 3: Cross multiply
    1,967.89x = 2,951.85 × 507.07
  4. Step 4: Simplify right side
    1,967.89x = 1,496,794.58
  5. Step 5: Solve for x
    x = 1,496,794.58/1,967.89
  6. Step 6: Final answer
    x = 760.61

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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.