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Finding the Fourth Proportional to 1,880.42, 2,821.43 and 840.38

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Solution

The fourth proportional to 1,880.42, 2,821.43 and 840.38 is: 1,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.42 : 2,821.43 = 840.38 : x
  2. Step 2: Convert to fraction form
    1,880.42/2,821.43 = 840.38/x
  3. Step 3: Cross multiply
    1,880.42x = 2,821.43 × 840.38
  4. Step 4: Simplify right side
    1,880.42x = 2,371,061.34
  5. Step 5: Solve for x
    x = 2,371,061.34/1,880.42
  6. Step 6: Final answer
    x = 1,260.92

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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.