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Finding the Fourth Proportional to 2,066.76, 2,852.16 and 1,135.24

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Solution

The fourth proportional to 2,066.76, 2,852.16 and 1,135.24 is: 1,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.76 : 2,852.16 = 1,135.24 : x
  2. Step 2: Convert to fraction form
    2,066.76/2,852.16 = 1,135.24/x
  3. Step 3: Cross multiply
    2,066.76x = 2,852.16 × 1,135.24
  4. Step 4: Simplify right side
    2,066.76x = 3,237,886.12
  5. Step 5: Solve for x
    x = 3,237,886.12/2,066.76
  6. Step 6: Final answer
    x = 1,566.65

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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.