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Finding the Fourth Proportional to 1,859.62, 2,787.78 and 706.18

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Solution

The fourth proportional to 1,859.62, 2,787.78 and 706.18 is: 1,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.62 : 2,787.78 = 706.18 : x
  2. Step 2: Convert to fraction form
    1,859.62/2,787.78 = 706.18/x
  3. Step 3: Cross multiply
    1,859.62x = 2,787.78 × 706.18
  4. Step 4: Simplify right side
    1,859.62x = 1,968,674.48
  5. Step 5: Solve for x
    x = 1,968,674.48/1,859.62
  6. Step 6: Final answer
    x = 1,058.64

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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.