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Finding the Fourth Proportional to 1,410.71, 1,946.49 and 968.45

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Solution

The fourth proportional to 1,410.71, 1,946.49 and 968.45 is: 1,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.71 : 1,946.49 = 968.45 : x
  2. Step 2: Convert to fraction form
    1,410.71/1,946.49 = 968.45/x
  3. Step 3: Cross multiply
    1,410.71x = 1,946.49 × 968.45
  4. Step 4: Simplify right side
    1,410.71x = 1,885,078.24
  5. Step 5: Solve for x
    x = 1,885,078.24/1,410.71
  6. Step 6: Final answer
    x = 1,336.26

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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.