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Finding the Fourth Proportional to 2,577.90, 3,866.42 and 935.22

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Solution

The fourth proportional to 2,577.90, 3,866.42 and 935.22 is: 1,402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.90 : 3,866.42 = 935.22 : x
  2. Step 2: Convert to fraction form
    2,577.90/3,866.42 = 935.22/x
  3. Step 3: Cross multiply
    2,577.90x = 3,866.42 × 935.22
  4. Step 4: Simplify right side
    2,577.90x = 3,615,953.31
  5. Step 5: Solve for x
    x = 3,615,953.31/2,577.90
  6. Step 6: Final answer
    x = 1,402.67

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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.