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Finding the Fourth Proportional to 1,710.89, 2,566.69 and 541.22

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Solution

The fourth proportional to 1,710.89, 2,566.69 and 541.22 is: 811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.89 : 2,566.69 = 541.22 : x
  2. Step 2: Convert to fraction form
    1,710.89/2,566.69 = 541.22/x
  3. Step 3: Cross multiply
    1,710.89x = 2,566.69 × 541.22
  4. Step 4: Simplify right side
    1,710.89x = 1,389,141.26
  5. Step 5: Solve for x
    x = 1,389,141.26/1,710.89
  6. Step 6: Final answer
    x = 811.94

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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.