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Finding the Fourth Proportional to 2,064.03, 2,849.02 and 1,566.64

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Solution

The fourth proportional to 2,064.03, 2,849.02 and 1,566.64 is: 2,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.03 : 2,849.02 = 1,566.64 : x
  2. Step 2: Convert to fraction form
    2,064.03/2,849.02 = 1,566.64/x
  3. Step 3: Cross multiply
    2,064.03x = 2,849.02 × 1,566.64
  4. Step 4: Simplify right side
    2,064.03x = 4,463,397.15
  5. Step 5: Solve for x
    x = 4,463,397.15/2,064.03
  6. Step 6: Final answer
    x = 2,162.47

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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.