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Finding the Fourth Proportional to 2,820.84, 3,890.37 and 2,114.34

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Solution

The fourth proportional to 2,820.84, 3,890.37 and 2,114.34 is: 2,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.84 : 3,890.37 = 2,114.34 : x
  2. Step 2: Convert to fraction form
    2,820.84/3,890.37 = 2,114.34/x
  3. Step 3: Cross multiply
    2,820.84x = 3,890.37 × 2,114.34
  4. Step 4: Simplify right side
    2,820.84x = 8,225,564.91
  5. Step 5: Solve for x
    x = 8,225,564.91/2,820.84
  6. Step 6: Final answer
    x = 2,916.00

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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.