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Finding the Fourth Proportional to 1,969.93, 2,954.69 and 653.63

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Solution

The fourth proportional to 1,969.93, 2,954.69 and 653.63 is: 980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.93 : 2,954.69 = 653.63 : x
  2. Step 2: Convert to fraction form
    1,969.93/2,954.69 = 653.63/x
  3. Step 3: Cross multiply
    1,969.93x = 2,954.69 × 653.63
  4. Step 4: Simplify right side
    1,969.93x = 1,931,278.14
  5. Step 5: Solve for x
    x = 1,931,278.14/1,969.93
  6. Step 6: Final answer
    x = 980.38

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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.