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Finding the Fourth Proportional to 2,874.99, 4,303.98 and 1,775.82

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Solution

The fourth proportional to 2,874.99, 4,303.98 and 1,775.82 is: 2,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.99 : 4,303.98 = 1,775.82 : x
  2. Step 2: Convert to fraction form
    2,874.99/4,303.98 = 1,775.82/x
  3. Step 3: Cross multiply
    2,874.99x = 4,303.98 × 1,775.82
  4. Step 4: Simplify right side
    2,874.99x = 7,643,093.76
  5. Step 5: Solve for x
    x = 7,643,093.76/2,874.99
  6. Step 6: Final answer
    x = 2,658.48

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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.