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Finding the Fourth Proportional to 1,880.07, 2,820.72 and 840.78

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Solution

The fourth proportional to 1,880.07, 2,820.72 and 840.78 is: 1,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.07 : 2,820.72 = 840.78 : x
  2. Step 2: Convert to fraction form
    1,880.07/2,820.72 = 840.78/x
  3. Step 3: Cross multiply
    1,880.07x = 2,820.72 × 840.78
  4. Step 4: Simplify right side
    1,880.07x = 2,371,604.96
  5. Step 5: Solve for x
    x = 2,371,604.96/1,880.07
  6. Step 6: Final answer
    x = 1,261.45

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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.