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Finding the Fourth Proportional to 2,035.94, 2,809.08 and 1,409.00

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Solution

The fourth proportional to 2,035.94, 2,809.08 and 1,409.00 is: 1,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.94 : 2,809.08 = 1,409.00 : x
  2. Step 2: Convert to fraction form
    2,035.94/2,809.08 = 1,409.00/x
  3. Step 3: Cross multiply
    2,035.94x = 2,809.08 × 1,409.00
  4. Step 4: Simplify right side
    2,035.94x = 3,957,979.67
  5. Step 5: Solve for x
    x = 3,957,979.67/2,035.94
  6. Step 6: Final answer
    x = 1,944.06

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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.