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Finding the Fourth Proportional to 2,775.69, 3,830.58 and 1,596.77

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Solution

The fourth proportional to 2,775.69, 3,830.58 and 1,596.77 is: 2,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.69 : 3,830.58 = 1,596.77 : x
  2. Step 2: Convert to fraction form
    2,775.69/3,830.58 = 1,596.77/x
  3. Step 3: Cross multiply
    2,775.69x = 3,830.58 × 1,596.77
  4. Step 4: Simplify right side
    2,775.69x = 6,116,536.07
  5. Step 5: Solve for x
    x = 6,116,536.07/2,775.69
  6. Step 6: Final answer
    x = 2,203.61

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1.5x scale

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.