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Finding the Fourth Proportional to 2,166.64, 3,249.60 and 705.58

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Solution

The fourth proportional to 2,166.64, 3,249.60 and 705.58 is: 1,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.64 : 3,249.60 = 705.58 : x
  2. Step 2: Convert to fraction form
    2,166.64/3,249.60 = 705.58/x
  3. Step 3: Cross multiply
    2,166.64x = 3,249.60 × 705.58
  4. Step 4: Simplify right side
    2,166.64x = 2,292,852.77
  5. Step 5: Solve for x
    x = 2,292,852.77/2,166.64
  6. Step 6: Final answer
    x = 1,058.25

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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.