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Finding the Fourth Proportional to 3,097.56, 4,646.33 and 906.31

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Solution

The fourth proportional to 3,097.56, 4,646.33 and 906.31 is: 1,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.56 : 4,646.33 = 906.31 : x
  2. Step 2: Convert to fraction form
    3,097.56/4,646.33 = 906.31/x
  3. Step 3: Cross multiply
    3,097.56x = 4,646.33 × 906.31
  4. Step 4: Simplify right side
    3,097.56x = 4,211,015.34
  5. Step 5: Solve for x
    x = 4,211,015.34/3,097.56
  6. Step 6: Final answer
    x = 1,359.46

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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.