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Finding the Fourth Proportional to 3,102.35, 4,649.18 and 2,405.75

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Solution

The fourth proportional to 3,102.35, 4,649.18 and 2,405.75 is: 3,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.35 : 4,649.18 = 2,405.75 : x
  2. Step 2: Convert to fraction form
    3,102.35/4,649.18 = 2,405.75/x
  3. Step 3: Cross multiply
    3,102.35x = 4,649.18 × 2,405.75
  4. Step 4: Simplify right side
    3,102.35x = 11,184,729.51
  5. Step 5: Solve for x
    x = 11,184,729.51/3,102.35
  6. Step 6: Final answer
    x = 3,605.25

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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.