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Finding the Fourth Proportional to 1,416.06, 1,954.50 and 944.70

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Solution

The fourth proportional to 1,416.06, 1,954.50 and 944.70 is: 1,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.06 : 1,954.50 = 944.70 : x
  2. Step 2: Convert to fraction form
    1,416.06/1,954.50 = 944.70/x
  3. Step 3: Cross multiply
    1,416.06x = 1,954.50 × 944.70
  4. Step 4: Simplify right side
    1,416.06x = 1,846,416.15
  5. Step 5: Solve for x
    x = 1,846,416.15/1,416.06
  6. Step 6: Final answer
    x = 1,303.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.