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Finding the Fourth Proportional to 2,166.83, 3,257.50 and 1,710.12

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Solution

The fourth proportional to 2,166.83, 3,257.50 and 1,710.12 is: 2,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.83 : 3,257.50 = 1,710.12 : x
  2. Step 2: Convert to fraction form
    2,166.83/3,257.50 = 1,710.12/x
  3. Step 3: Cross multiply
    2,166.83x = 3,257.50 × 1,710.12
  4. Step 4: Simplify right side
    2,166.83x = 5,570,695.34
  5. Step 5: Solve for x
    x = 5,570,695.34/2,166.83
  6. Step 6: Final answer
    x = 2,570.89

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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.