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Finding the Fourth Proportional to 1,309.77, 1,961.62 and 1,300.05

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Solution

The fourth proportional to 1,309.77, 1,961.62 and 1,300.05 is: 1,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.77 : 1,961.62 = 1,300.05 : x
  2. Step 2: Convert to fraction form
    1,309.77/1,961.62 = 1,300.05/x
  3. Step 3: Cross multiply
    1,309.77x = 1,961.62 × 1,300.05
  4. Step 4: Simplify right side
    1,309.77x = 2,550,204.08
  5. Step 5: Solve for x
    x = 2,550,204.08/1,309.77
  6. Step 6: Final answer
    x = 1,947.06

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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.