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Finding the Fourth Proportional to 3,097.64, 4,646.16 and 906.39

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Solution

The fourth proportional to 3,097.64, 4,646.16 and 906.39 is: 1,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.64 : 4,646.16 = 906.39 : x
  2. Step 2: Convert to fraction form
    3,097.64/4,646.16 = 906.39/x
  3. Step 3: Cross multiply
    3,097.64x = 4,646.16 × 906.39
  4. Step 4: Simplify right side
    3,097.64x = 4,211,232.96
  5. Step 5: Solve for x
    x = 4,211,232.96/3,097.64
  6. Step 6: Final answer
    x = 1,359.50

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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.