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Finding the Fourth Proportional to 3,284.01, 4,925.17 and 944.02

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Solution

The fourth proportional to 3,284.01, 4,925.17 and 944.02 is: 1,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.01 : 4,925.17 = 944.02 : x
  2. Step 2: Convert to fraction form
    3,284.01/4,925.17 = 944.02/x
  3. Step 3: Cross multiply
    3,284.01x = 4,925.17 × 944.02
  4. Step 4: Simplify right side
    3,284.01x = 4,649,466.32
  5. Step 5: Solve for x
    x = 4,649,466.32/3,284.01
  6. Step 6: Final answer
    x = 1,415.79

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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.