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Finding the Fourth Proportional to 1,938.64, 2,908.54 and 706.62

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Solution

The fourth proportional to 1,938.64, 2,908.54 and 706.62 is: 1,060.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.64 : 2,908.54 = 706.62 : x
  2. Step 2: Convert to fraction form
    1,938.64/2,908.54 = 706.62/x
  3. Step 3: Cross multiply
    1,938.64x = 2,908.54 × 706.62
  4. Step 4: Simplify right side
    1,938.64x = 2,055,232.53
  5. Step 5: Solve for x
    x = 2,055,232.53/1,938.64
  6. Step 6: Final answer
    x = 1,060.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.