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Finding the Fourth Proportional to 2,967.79, 4,447.58 and 2,526.74

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Solution

The fourth proportional to 2,967.79, 4,447.58 and 2,526.74 is: 3,786.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.79 : 4,447.58 = 2,526.74 : x
  2. Step 2: Convert to fraction form
    2,967.79/4,447.58 = 2,526.74/x
  3. Step 3: Cross multiply
    2,967.79x = 4,447.58 × 2,526.74
  4. Step 4: Simplify right side
    2,967.79x = 11,237,876.77
  5. Step 5: Solve for x
    x = 11,237,876.77/2,967.79
  6. Step 6: Final answer
    x = 3,786.62

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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.