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Finding the Fourth Proportional to 2,295.79, 3,168.38 and 1,411.81

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Solution

The fourth proportional to 2,295.79, 3,168.38 and 1,411.81 is: 1,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.79 : 3,168.38 = 1,411.81 : x
  2. Step 2: Convert to fraction form
    2,295.79/3,168.38 = 1,411.81/x
  3. Step 3: Cross multiply
    2,295.79x = 3,168.38 × 1,411.81
  4. Step 4: Simplify right side
    2,295.79x = 4,473,127.67
  5. Step 5: Solve for x
    x = 4,473,127.67/2,295.79
  6. Step 6: Final answer
    x = 1,948.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.