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Finding the Fourth Proportional to 3,085.98, 4,259.06 and 1,741.86

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Solution

The fourth proportional to 3,085.98, 4,259.06 and 1,741.86 is: 2,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.98 : 4,259.06 = 1,741.86 : x
  2. Step 2: Convert to fraction form
    3,085.98/4,259.06 = 1,741.86/x
  3. Step 3: Cross multiply
    3,085.98x = 4,259.06 × 1,741.86
  4. Step 4: Simplify right side
    3,085.98x = 7,418,686.25
  5. Step 5: Solve for x
    x = 7,418,686.25/3,085.98
  6. Step 6: Final answer
    x = 2,404.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.