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Finding the Fourth Proportional to 3,110.54, 4,656.94 and 2,369.34

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Solution

The fourth proportional to 3,110.54, 4,656.94 and 2,369.34 is: 3,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.54 : 4,656.94 = 2,369.34 : x
  2. Step 2: Convert to fraction form
    3,110.54/4,656.94 = 2,369.34/x
  3. Step 3: Cross multiply
    3,110.54x = 4,656.94 × 2,369.34
  4. Step 4: Simplify right side
    3,110.54x = 11,033,874.22
  5. Step 5: Solve for x
    x = 11,033,874.22/3,110.54
  6. Step 6: Final answer
    x = 3,547.25

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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.