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Finding the Fourth Proportional to 3,160.86, 4,741.20 and 969.48

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Solution

The fourth proportional to 3,160.86, 4,741.20 and 969.48 is: 1,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.86 : 4,741.20 = 969.48 : x
  2. Step 2: Convert to fraction form
    3,160.86/4,741.20 = 969.48/x
  3. Step 3: Cross multiply
    3,160.86x = 4,741.20 × 969.48
  4. Step 4: Simplify right side
    3,160.86x = 4,596,498.58
  5. Step 5: Solve for x
    x = 4,596,498.58/3,160.86
  6. Step 6: Final answer
    x = 1,454.19

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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.