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Finding the Fourth Proportional to 2,310.19, 3,464.04 and 1,010.14

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Solution

The fourth proportional to 2,310.19, 3,464.04 and 1,010.14 is: 1,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.19 : 3,464.04 = 1,010.14 : x
  2. Step 2: Convert to fraction form
    2,310.19/3,464.04 = 1,010.14/x
  3. Step 3: Cross multiply
    2,310.19x = 3,464.04 × 1,010.14
  4. Step 4: Simplify right side
    2,310.19x = 3,499,165.37
  5. Step 5: Solve for x
    x = 3,499,165.37/2,310.19
  6. Step 6: Final answer
    x = 1,514.67

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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.