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Finding the Fourth Proportional to 2,347.25, 3,235.86 and 1,600.25

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Solution

The fourth proportional to 2,347.25, 3,235.86 and 1,600.25 is: 2,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.25 : 3,235.86 = 1,600.25 : x
  2. Step 2: Convert to fraction form
    2,347.25/3,235.86 = 1,600.25/x
  3. Step 3: Cross multiply
    2,347.25x = 3,235.86 × 1,600.25
  4. Step 4: Simplify right side
    2,347.25x = 5,178,168.79
  5. Step 5: Solve for x
    x = 5,178,168.79/2,347.25
  6. Step 6: Final answer
    x = 2,206.06

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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.