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Finding the Fourth Proportional to 3,135.54, 4,703.27 and 944.18

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Solution

The fourth proportional to 3,135.54, 4,703.27 and 944.18 is: 1,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.54 : 4,703.27 = 944.18 : x
  2. Step 2: Convert to fraction form
    3,135.54/4,703.27 = 944.18/x
  3. Step 3: Cross multiply
    3,135.54x = 4,703.27 × 944.18
  4. Step 4: Simplify right side
    3,135.54x = 4,440,705.23
  5. Step 5: Solve for x
    x = 4,440,705.23/3,135.54
  6. Step 6: Final answer
    x = 1,416.25

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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.