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Finding the Fourth Proportional to 3,293.66, 4,941.35 and 985.16

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Solution

The fourth proportional to 3,293.66, 4,941.35 and 985.16 is: 1,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.66 : 4,941.35 = 985.16 : x
  2. Step 2: Convert to fraction form
    3,293.66/4,941.35 = 985.16/x
  3. Step 3: Cross multiply
    3,293.66x = 4,941.35 × 985.16
  4. Step 4: Simplify right side
    3,293.66x = 4,867,990.73
  5. Step 5: Solve for x
    x = 4,867,990.73/3,293.66
  6. Step 6: Final answer
    x = 1,477.99

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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.