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Finding the Fourth Proportional to 2,378.68, 3,567.90 and 1,410.94

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Solution

The fourth proportional to 2,378.68, 3,567.90 and 1,410.94 is: 2,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.68 : 3,567.90 = 1,410.94 : x
  2. Step 2: Convert to fraction form
    2,378.68/3,567.90 = 1,410.94/x
  3. Step 3: Cross multiply
    2,378.68x = 3,567.90 × 1,410.94
  4. Step 4: Simplify right side
    2,378.68x = 5,034,092.83
  5. Step 5: Solve for x
    x = 5,034,092.83/2,378.68
  6. Step 6: Final answer
    x = 2,116.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.