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Finding the Fourth Proportional to 1,710.99, 2,564.87 and 671.66

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Solution

The fourth proportional to 1,710.99, 2,564.87 and 671.66 is: 1,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.99 : 2,564.87 = 671.66 : x
  2. Step 2: Convert to fraction form
    1,710.99/2,564.87 = 671.66/x
  3. Step 3: Cross multiply
    1,710.99x = 2,564.87 × 671.66
  4. Step 4: Simplify right side
    1,710.99x = 1,722,714.02
  5. Step 5: Solve for x
    x = 1,722,714.02/1,710.99
  6. Step 6: Final answer
    x = 1,006.85

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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.