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Finding the Fourth Proportional to 2,973.99, 4,103.55 and 1,697.70

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Solution

The fourth proportional to 2,973.99, 4,103.55 and 1,697.70 is: 2,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.99 : 4,103.55 = 1,697.70 : x
  2. Step 2: Convert to fraction form
    2,973.99/4,103.55 = 1,697.70/x
  3. Step 3: Cross multiply
    2,973.99x = 4,103.55 × 1,697.70
  4. Step 4: Simplify right side
    2,973.99x = 6,966,596.84
  5. Step 5: Solve for x
    x = 6,966,596.84/2,973.99
  6. Step 6: Final answer
    x = 2,342.51

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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.