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Finding the Fourth Proportional to 1,710.72, 2,566.22 and 671.00

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Solution

The fourth proportional to 1,710.72, 2,566.22 and 671.00 is: 1,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.72 : 2,566.22 = 671.00 : x
  2. Step 2: Convert to fraction form
    1,710.72/2,566.22 = 671.00/x
  3. Step 3: Cross multiply
    1,710.72x = 2,566.22 × 671.00
  4. Step 4: Simplify right side
    1,710.72x = 1,721,917.43
  5. Step 5: Solve for x
    x = 1,721,917.43/1,710.72
  6. Step 6: Final answer
    x = 1,006.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.