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Finding the Fourth Proportional to 3,293.48, 4,941.10 and 1,444.76

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Solution

The fourth proportional to 3,293.48, 4,941.10 and 1,444.76 is: 2,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.48 : 4,941.10 = 1,444.76 : x
  2. Step 2: Convert to fraction form
    3,293.48/4,941.10 = 1,444.76/x
  3. Step 3: Cross multiply
    3,293.48x = 4,941.10 × 1,444.76
  4. Step 4: Simplify right side
    3,293.48x = 7,138,703.64
  5. Step 5: Solve for x
    x = 7,138,703.64/3,293.48
  6. Step 6: Final answer
    x = 2,167.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.