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Finding the Fourth Proportional to 2,365.51, 3,549.47 and 1,066.69

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Solution

The fourth proportional to 2,365.51, 3,549.47 and 1,066.69 is: 1,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.51 : 3,549.47 = 1,066.69 : x
  2. Step 2: Convert to fraction form
    2,365.51/3,549.47 = 1,066.69/x
  3. Step 3: Cross multiply
    2,365.51x = 3,549.47 × 1,066.69
  4. Step 4: Simplify right side
    2,365.51x = 3,786,184.15
  5. Step 5: Solve for x
    x = 3,786,184.15/2,365.51
  6. Step 6: Final answer
    x = 1,600.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.