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Finding the Fourth Proportional to 1,710.99, 2,570.80 and 1,641.79

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Solution

The fourth proportional to 1,710.99, 2,570.80 and 1,641.79 is: 2,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.99 : 2,570.80 = 1,641.79 : x
  2. Step 2: Convert to fraction form
    1,710.99/2,570.80 = 1,641.79/x
  3. Step 3: Cross multiply
    1,710.99x = 2,570.80 × 1,641.79
  4. Step 4: Simplify right side
    1,710.99x = 4,220,713.74
  5. Step 5: Solve for x
    x = 4,220,713.74/1,710.99
  6. Step 6: Final answer
    x = 2,466.83

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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.