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Finding the Fourth Proportional to 2,653.60, 3,980.46 and 705.80

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Solution

The fourth proportional to 2,653.60, 3,980.46 and 705.80 is: 1,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.60 : 3,980.46 = 705.80 : x
  2. Step 2: Convert to fraction form
    2,653.60/3,980.46 = 705.80/x
  3. Step 3: Cross multiply
    2,653.60x = 3,980.46 × 705.80
  4. Step 4: Simplify right side
    2,653.60x = 2,809,408.67
  5. Step 5: Solve for x
    x = 2,809,408.67/2,653.60
  6. Step 6: Final answer
    x = 1,058.72

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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.