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Finding the Fourth Proportional to 2,071.84, 3,107.81 and 773.05

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Solution

The fourth proportional to 2,071.84, 3,107.81 and 773.05 is: 1,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.84 : 3,107.81 = 773.05 : x
  2. Step 2: Convert to fraction form
    2,071.84/3,107.81 = 773.05/x
  3. Step 3: Cross multiply
    2,071.84x = 3,107.81 × 773.05
  4. Step 4: Simplify right side
    2,071.84x = 2,402,492.52
  5. Step 5: Solve for x
    x = 2,402,492.52/2,071.84
  6. Step 6: Final answer
    x = 1,159.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.