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Finding the Fourth Proportional to 1,954.64, 2,920.74 and 1,918.16

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Solution

The fourth proportional to 1,954.64, 2,920.74 and 1,918.16 is: 2,866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.64 : 2,920.74 = 1,918.16 : x
  2. Step 2: Convert to fraction form
    1,954.64/2,920.74 = 1,918.16/x
  3. Step 3: Cross multiply
    1,954.64x = 2,920.74 × 1,918.16
  4. Step 4: Simplify right side
    1,954.64x = 5,602,446.64
  5. Step 5: Solve for x
    x = 5,602,446.64/1,954.64
  6. Step 6: Final answer
    x = 2,866.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.