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Finding the Fourth Proportional to 2,066.64, 2,852.01 and 1,135.14

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Solution

The fourth proportional to 2,066.64, 2,852.01 and 1,135.14 is: 1,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.64 : 2,852.01 = 1,135.14 : x
  2. Step 2: Convert to fraction form
    2,066.64/2,852.01 = 1,135.14/x
  3. Step 3: Cross multiply
    2,066.64x = 2,852.01 × 1,135.14
  4. Step 4: Simplify right side
    2,066.64x = 3,237,430.63
  5. Step 5: Solve for x
    x = 3,237,430.63/2,066.64
  6. Step 6: Final answer
    x = 1,566.52

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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.