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Finding the Fourth Proportional to 2,100.19, 3,150.28 and 561.19

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Solution

The fourth proportional to 2,100.19, 3,150.28 and 561.19 is: 841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.19 : 3,150.28 = 561.19 : x
  2. Step 2: Convert to fraction form
    2,100.19/3,150.28 = 561.19/x
  3. Step 3: Cross multiply
    2,100.19x = 3,150.28 × 561.19
  4. Step 4: Simplify right side
    2,100.19x = 1,767,898.46
  5. Step 5: Solve for x
    x = 1,767,898.46/2,100.19
  6. Step 6: Final answer
    x = 841.78

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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.