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Finding the Fourth Proportional to 2,769.03, 4,152.11 and 1,307.79

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Solution

The fourth proportional to 2,769.03, 4,152.11 and 1,307.79 is: 1,961.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.03 : 4,152.11 = 1,307.79 : x
  2. Step 2: Convert to fraction form
    2,769.03/4,152.11 = 1,307.79/x
  3. Step 3: Cross multiply
    2,769.03x = 4,152.11 × 1,307.79
  4. Step 4: Simplify right side
    2,769.03x = 5,430,081.40
  5. Step 5: Solve for x
    x = 5,430,081.40/2,769.03
  6. Step 6: Final answer
    x = 1,961.00

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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.