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Finding the Fourth Proportional to 2,970.99, 4,100.02 and 1,711.83

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Solution

The fourth proportional to 2,970.99, 4,100.02 and 1,711.83 is: 2,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.99 : 4,100.02 = 1,711.83 : x
  2. Step 2: Convert to fraction form
    2,970.99/4,100.02 = 1,711.83/x
  3. Step 3: Cross multiply
    2,970.99x = 4,100.02 × 1,711.83
  4. Step 4: Simplify right side
    2,970.99x = 7,018,531.04
  5. Step 5: Solve for x
    x = 7,018,531.04/2,970.99
  6. Step 6: Final answer
    x = 2,362.36

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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.