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Finding the Fourth Proportional to 2,588.70, 3,570.72 and 1,790.64

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Solution

The fourth proportional to 2,588.70, 3,570.72 and 1,790.64 is: 2,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.70 : 3,570.72 = 1,790.64 : x
  2. Step 2: Convert to fraction form
    2,588.70/3,570.72 = 1,790.64/x
  3. Step 3: Cross multiply
    2,588.70x = 3,570.72 × 1,790.64
  4. Step 4: Simplify right side
    2,588.70x = 6,393,874.06
  5. Step 5: Solve for x
    x = 6,393,874.06/2,588.70
  6. Step 6: Final answer
    x = 2,469.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.