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Finding the Fourth Proportional to 1,880.28, 2,821.08 and 840.18

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Solution

The fourth proportional to 1,880.28, 2,821.08 and 840.18 is: 1,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.28 : 2,821.08 = 840.18 : x
  2. Step 2: Convert to fraction form
    1,880.28/2,821.08 = 840.18/x
  3. Step 3: Cross multiply
    1,880.28x = 2,821.08 × 840.18
  4. Step 4: Simplify right side
    1,880.28x = 2,370,210.79
  5. Step 5: Solve for x
    x = 2,370,210.79/1,880.28
  6. Step 6: Final answer
    x = 1,260.56

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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.