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Finding the Fourth Proportional to 2,017.69, 2,784.27 and 1,852.45

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Solution

The fourth proportional to 2,017.69, 2,784.27 and 1,852.45 is: 2,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.69 : 2,784.27 = 1,852.45 : x
  2. Step 2: Convert to fraction form
    2,017.69/2,784.27 = 1,852.45/x
  3. Step 3: Cross multiply
    2,017.69x = 2,784.27 × 1,852.45
  4. Step 4: Simplify right side
    2,017.69x = 5,157,720.96
  5. Step 5: Solve for x
    x = 5,157,720.96/2,017.69
  6. Step 6: Final answer
    x = 2,556.25

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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.