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Finding the Fourth Proportional to 2,798.81, 3,862.37 and 1,556.81

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Solution

The fourth proportional to 2,798.81, 3,862.37 and 1,556.81 is: 2,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.81 : 3,862.37 = 1,556.81 : x
  2. Step 2: Convert to fraction form
    2,798.81/3,862.37 = 1,556.81/x
  3. Step 3: Cross multiply
    2,798.81x = 3,862.37 × 1,556.81
  4. Step 4: Simplify right side
    2,798.81x = 6,012,978.11
  5. Step 5: Solve for x
    x = 6,012,978.11/2,798.81
  6. Step 6: Final answer
    x = 2,148.40

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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.