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Finding the Fourth Proportional to 3,135.62, 4,703.96 and 944.16

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Solution

The fourth proportional to 3,135.62, 4,703.96 and 944.16 is: 1,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.62 : 4,703.96 = 944.16 : x
  2. Step 2: Convert to fraction form
    3,135.62/4,703.96 = 944.16/x
  3. Step 3: Cross multiply
    3,135.62x = 4,703.96 × 944.16
  4. Step 4: Simplify right side
    3,135.62x = 4,441,293.23
  5. Step 5: Solve for x
    x = 4,441,293.23/3,135.62
  6. Step 6: Final answer
    x = 1,416.40

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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.