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Finding the Fourth Proportional to 2,699.81, 3,725.81 and 1,637.63

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Solution

The fourth proportional to 2,699.81, 3,725.81 and 1,637.63 is: 2,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.81 : 3,725.81 = 1,637.63 : x
  2. Step 2: Convert to fraction form
    2,699.81/3,725.81 = 1,637.63/x
  3. Step 3: Cross multiply
    2,699.81x = 3,725.81 × 1,637.63
  4. Step 4: Simplify right side
    2,699.81x = 6,101,505.50
  5. Step 5: Solve for x
    x = 6,101,505.50/2,699.81
  6. Step 6: Final answer
    x = 2,259.97

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1.5x scale

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.