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Finding the Fourth Proportional to 2,066.90, 2,852.28 and 1,170.63

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Solution

The fourth proportional to 2,066.90, 2,852.28 and 1,170.63 is: 1,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.90 : 2,852.28 = 1,170.63 : x
  2. Step 2: Convert to fraction form
    2,066.90/2,852.28 = 1,170.63/x
  3. Step 3: Cross multiply
    2,066.90x = 2,852.28 × 1,170.63
  4. Step 4: Simplify right side
    2,066.90x = 3,338,964.54
  5. Step 5: Solve for x
    x = 3,338,964.54/2,066.90
  6. Step 6: Final answer
    x = 1,615.45

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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.