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Finding the Fourth Proportional to 2,411.75, 3,614.36 and 1,023.35

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Solution

The fourth proportional to 2,411.75, 3,614.36 and 1,023.35 is: 1,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.75 : 3,614.36 = 1,023.35 : x
  2. Step 2: Convert to fraction form
    2,411.75/3,614.36 = 1,023.35/x
  3. Step 3: Cross multiply
    2,411.75x = 3,614.36 × 1,023.35
  4. Step 4: Simplify right side
    2,411.75x = 3,698,742.28
  5. Step 5: Solve for x
    x = 3,698,742.28/2,411.75
  6. Step 6: Final answer
    x = 1,533.63

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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.