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Finding the Fourth Proportional to 1,416.54, 1,955.20 and 997.02

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Solution

The fourth proportional to 1,416.54, 1,955.20 and 997.02 is: 1,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.54 : 1,955.20 = 997.02 : x
  2. Step 2: Convert to fraction form
    1,416.54/1,955.20 = 997.02/x
  3. Step 3: Cross multiply
    1,416.54x = 1,955.20 × 997.02
  4. Step 4: Simplify right side
    1,416.54x = 1,949,377.03
  5. Step 5: Solve for x
    x = 1,949,377.03/1,416.54
  6. Step 6: Final answer
    x = 1,376.16

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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.