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Finding the Fourth Proportional to 2,411.40, 3,613.14 and 2,321.50

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Solution

The fourth proportional to 2,411.40, 3,613.14 and 2,321.50 is: 3,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.40 : 3,613.14 = 2,321.50 : x
  2. Step 2: Convert to fraction form
    2,411.40/3,613.14 = 2,321.50/x
  3. Step 3: Cross multiply
    2,411.40x = 3,613.14 × 2,321.50
  4. Step 4: Simplify right side
    2,411.40x = 8,387,904.51
  5. Step 5: Solve for x
    x = 8,387,904.51/2,411.40
  6. Step 6: Final answer
    x = 3,478.44

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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.