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Finding the Fourth Proportional to 2,932.07, 4,395.74 and 1,698.03

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Solution

The fourth proportional to 2,932.07, 4,395.74 and 1,698.03 is: 2,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.07 : 4,395.74 = 1,698.03 : x
  2. Step 2: Convert to fraction form
    2,932.07/4,395.74 = 1,698.03/x
  3. Step 3: Cross multiply
    2,932.07x = 4,395.74 × 1,698.03
  4. Step 4: Simplify right side
    2,932.07x = 7,464,089.90
  5. Step 5: Solve for x
    x = 7,464,089.90/2,932.07
  6. Step 6: Final answer
    x = 2,545.68

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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.