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Finding the Fourth Proportional to 2,903.50, 4,006.84 and 1,661.74

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Solution

The fourth proportional to 2,903.50, 4,006.84 and 1,661.74 is: 2,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.50 : 4,006.84 = 1,661.74 : x
  2. Step 2: Convert to fraction form
    2,903.50/4,006.84 = 1,661.74/x
  3. Step 3: Cross multiply
    2,903.50x = 4,006.84 × 1,661.74
  4. Step 4: Simplify right side
    2,903.50x = 6,658,326.30
  5. Step 5: Solve for x
    x = 6,658,326.30/2,903.50
  6. Step 6: Final answer
    x = 2,293.21

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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.