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Finding the Fourth Proportional to 2,705.96, 4,058.94 and 1,787.30

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Solution

The fourth proportional to 2,705.96, 4,058.94 and 1,787.30 is: 2,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.96 : 4,058.94 = 1,787.30 : x
  2. Step 2: Convert to fraction form
    2,705.96/4,058.94 = 1,787.30/x
  3. Step 3: Cross multiply
    2,705.96x = 4,058.94 × 1,787.30
  4. Step 4: Simplify right side
    2,705.96x = 7,254,547.13
  5. Step 5: Solve for x
    x = 7,254,547.13/2,705.96
  6. Step 6: Final answer
    x = 2,680.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.