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Finding the Fourth Proportional to 2,798.48, 3,862.09 and 1,852.64

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Solution

The fourth proportional to 2,798.48, 3,862.09 and 1,852.64 is: 2,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.48 : 3,862.09 = 1,852.64 : x
  2. Step 2: Convert to fraction form
    2,798.48/3,862.09 = 1,852.64/x
  3. Step 3: Cross multiply
    2,798.48x = 3,862.09 × 1,852.64
  4. Step 4: Simplify right side
    2,798.48x = 7,155,062.42
  5. Step 5: Solve for x
    x = 7,155,062.42/2,798.48
  6. Step 6: Final answer
    x = 2,556.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.