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Finding the Fourth Proportional to 1,416.71, 1,955.30 and 974.27

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Solution

The fourth proportional to 1,416.71, 1,955.30 and 974.27 is: 1,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.71 : 1,955.30 = 974.27 : x
  2. Step 2: Convert to fraction form
    1,416.71/1,955.30 = 974.27/x
  3. Step 3: Cross multiply
    1,416.71x = 1,955.30 × 974.27
  4. Step 4: Simplify right side
    1,416.71x = 1,904,975.48
  5. Step 5: Solve for x
    x = 1,904,975.48/1,416.71
  6. Step 6: Final answer
    x = 1,344.65

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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.