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Finding the Fourth Proportional to 3,135.32, 4,703.61 and 944.24

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Solution

The fourth proportional to 3,135.32, 4,703.61 and 944.24 is: 1,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.32 : 4,703.61 = 944.24 : x
  2. Step 2: Convert to fraction form
    3,135.32/4,703.61 = 944.24/x
  3. Step 3: Cross multiply
    3,135.32x = 4,703.61 × 944.24
  4. Step 4: Simplify right side
    3,135.32x = 4,441,336.71
  5. Step 5: Solve for x
    x = 4,441,336.71/3,135.32
  6. Step 6: Final answer
    x = 1,416.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.