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Finding the Fourth Proportional to 2,347.35, 3,519.69 and 1,410.57

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Solution

The fourth proportional to 2,347.35, 3,519.69 and 1,410.57 is: 2,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.35 : 3,519.69 = 1,410.57 : x
  2. Step 2: Convert to fraction form
    2,347.35/3,519.69 = 1,410.57/x
  3. Step 3: Cross multiply
    2,347.35x = 3,519.69 × 1,410.57
  4. Step 4: Simplify right side
    2,347.35x = 4,964,769.12
  5. Step 5: Solve for x
    x = 4,964,769.12/2,347.35
  6. Step 6: Final answer
    x = 2,115.05

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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.