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Finding the Fourth Proportional to 1,973.61, 2,723.67 and 1,134.59

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Solution

The fourth proportional to 1,973.61, 2,723.67 and 1,134.59 is: 1,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.61 : 2,723.67 = 1,134.59 : x
  2. Step 2: Convert to fraction form
    1,973.61/2,723.67 = 1,134.59/x
  3. Step 3: Cross multiply
    1,973.61x = 2,723.67 × 1,134.59
  4. Step 4: Simplify right side
    1,973.61x = 3,090,235.13
  5. Step 5: Solve for x
    x = 3,090,235.13/1,973.61
  6. Step 6: Final answer
    x = 1,565.78

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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.