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Finding the Fourth Proportional to 2,085.71, 3,126.52 and 1,774.06

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Solution

The fourth proportional to 2,085.71, 3,126.52 and 1,774.06 is: 2,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.71 : 3,126.52 = 1,774.06 : x
  2. Step 2: Convert to fraction form
    2,085.71/3,126.52 = 1,774.06/x
  3. Step 3: Cross multiply
    2,085.71x = 3,126.52 × 1,774.06
  4. Step 4: Simplify right side
    2,085.71x = 5,546,634.07
  5. Step 5: Solve for x
    x = 5,546,634.07/2,085.71
  6. Step 6: Final answer
    x = 2,659.35

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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.