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Finding the Fourth Proportional to 3,284.48, 4,925.98 and 944.48

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Solution

The fourth proportional to 3,284.48, 4,925.98 and 944.48 is: 1,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.48 : 4,925.98 = 944.48 : x
  2. Step 2: Convert to fraction form
    3,284.48/4,925.98 = 944.48/x
  3. Step 3: Cross multiply
    3,284.48x = 4,925.98 × 944.48
  4. Step 4: Simplify right side
    3,284.48x = 4,652,484.87
  5. Step 5: Solve for x
    x = 4,652,484.87/3,284.48
  6. Step 6: Final answer
    x = 1,416.51

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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.