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Finding the Fourth Proportional to 1,969.46, 2,954.88 and 874.60

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Solution

The fourth proportional to 1,969.46, 2,954.88 and 874.60 is: 1,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.46 : 2,954.88 = 874.60 : x
  2. Step 2: Convert to fraction form
    1,969.46/2,954.88 = 874.60/x
  3. Step 3: Cross multiply
    1,969.46x = 2,954.88 × 874.60
  4. Step 4: Simplify right side
    1,969.46x = 2,584,330.66
  5. Step 5: Solve for x
    x = 2,584,330.66/1,969.46
  6. Step 6: Final answer
    x = 1,312.20

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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.