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Finding the Fourth Proportional to 2,775.56, 3,830.17 and 1,597.01

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Solution

The fourth proportional to 2,775.56, 3,830.17 and 1,597.01 is: 2,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.56 : 3,830.17 = 1,597.01 : x
  2. Step 2: Convert to fraction form
    2,775.56/3,830.17 = 1,597.01/x
  3. Step 3: Cross multiply
    2,775.56x = 3,830.17 × 1,597.01
  4. Step 4: Simplify right side
    2,775.56x = 6,116,811.81
  5. Step 5: Solve for x
    x = 6,116,811.81/2,775.56
  6. Step 6: Final answer
    x = 2,203.81

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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.