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Finding the Fourth Proportional to 2,064.37, 2,847.52 and 1,565.92

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Solution

The fourth proportional to 2,064.37, 2,847.52 and 1,565.92 is: 2,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.37 : 2,847.52 = 1,565.92 : x
  2. Step 2: Convert to fraction form
    2,064.37/2,847.52 = 1,565.92/x
  3. Step 3: Cross multiply
    2,064.37x = 2,847.52 × 1,565.92
  4. Step 4: Simplify right side
    2,064.37x = 4,458,988.52
  5. Step 5: Solve for x
    x = 4,458,988.52/2,064.37
  6. Step 6: Final answer
    x = 2,159.98

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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.