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Finding the Fourth Proportional to 1,935, 2,670.30 and 1,411.47

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Solution

The fourth proportional to 1,935, 2,670.30 and 1,411.47 is: 1,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935 : 2,670.30 = 1,411.47 : x
  2. Step 2: Convert to fraction form
    1,935/2,670.30 = 1,411.47/x
  3. Step 3: Cross multiply
    1,935x = 2,670.30 × 1,411.47
  4. Step 4: Simplify right side
    1,935x = 3,769,048.34
  5. Step 5: Solve for x
    x = 3,769,048.34/1,935
  6. Step 6: Final answer
    x = 1,947.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.