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Finding the Fourth Proportional to 3,071.66, 4,606.34 and 992.20

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Solution

The fourth proportional to 3,071.66, 4,606.34 and 992.20 is: 1,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.66 : 4,606.34 = 992.20 : x
  2. Step 2: Convert to fraction form
    3,071.66/4,606.34 = 992.20/x
  3. Step 3: Cross multiply
    3,071.66x = 4,606.34 × 992.20
  4. Step 4: Simplify right side
    3,071.66x = 4,570,410.55
  5. Step 5: Solve for x
    x = 4,570,410.55/3,071.66
  6. Step 6: Final answer
    x = 1,487.93

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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.