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Finding the Fourth Proportional to 1,774.18, 2,661.26 and 541.59

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Solution

The fourth proportional to 1,774.18, 2,661.26 and 541.59 is: 812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.18 : 2,661.26 = 541.59 : x
  2. Step 2: Convert to fraction form
    1,774.18/2,661.26 = 541.59/x
  3. Step 3: Cross multiply
    1,774.18x = 2,661.26 × 541.59
  4. Step 4: Simplify right side
    1,774.18x = 1,441,302.16
  5. Step 5: Solve for x
    x = 1,441,302.16/1,774.18
  6. Step 6: Final answer
    x = 812.38

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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.