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Finding the Fourth Proportional to 2,471.01, 3,411.21 and 1,678.50

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Solution

The fourth proportional to 2,471.01, 3,411.21 and 1,678.50 is: 2,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.01 : 3,411.21 = 1,678.50 : x
  2. Step 2: Convert to fraction form
    2,471.01/3,411.21 = 1,678.50/x
  3. Step 3: Cross multiply
    2,471.01x = 3,411.21 × 1,678.50
  4. Step 4: Simplify right side
    2,471.01x = 5,725,715.99
  5. Step 5: Solve for x
    x = 5,725,715.99/2,471.01
  6. Step 6: Final answer
    x = 2,317.16

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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.