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Finding the Fourth Proportional to 1,754.14, 2,420.78 and 968.16

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Solution

The fourth proportional to 1,754.14, 2,420.78 and 968.16 is: 1,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.14 : 2,420.78 = 968.16 : x
  2. Step 2: Convert to fraction form
    1,754.14/2,420.78 = 968.16/x
  3. Step 3: Cross multiply
    1,754.14x = 2,420.78 × 968.16
  4. Step 4: Simplify right side
    1,754.14x = 2,343,702.36
  5. Step 5: Solve for x
    x = 2,343,702.36/1,754.14
  6. Step 6: Final answer
    x = 1,336.10

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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.