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Finding the Fourth Proportional to 1,973.64, 2,723.54 and 1,089.42

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Solution

The fourth proportional to 1,973.64, 2,723.54 and 1,089.42 is: 1,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.64 : 2,723.54 = 1,089.42 : x
  2. Step 2: Convert to fraction form
    1,973.64/2,723.54 = 1,089.42/x
  3. Step 3: Cross multiply
    1,973.64x = 2,723.54 × 1,089.42
  4. Step 4: Simplify right side
    1,973.64x = 2,967,078.95
  5. Step 5: Solve for x
    x = 2,967,078.95/1,973.64
  6. Step 6: Final answer
    x = 1,503.35

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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.