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Finding the Fourth Proportional to 1,973.41, 2,723.10 and 1,133.91

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Solution

The fourth proportional to 1,973.41, 2,723.10 and 1,133.91 is: 1,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.41 : 2,723.10 = 1,133.91 : x
  2. Step 2: Convert to fraction form
    1,973.41/2,723.10 = 1,133.91/x
  3. Step 3: Cross multiply
    1,973.41x = 2,723.10 × 1,133.91
  4. Step 4: Simplify right side
    1,973.41x = 3,087,750.32
  5. Step 5: Solve for x
    x = 3,087,750.32/1,973.41
  6. Step 6: Final answer
    x = 1,564.68

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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.