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Finding the Fourth Proportional to 1,962.83, 2,709.83 and 1,300.58

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Solution

The fourth proportional to 1,962.83, 2,709.83 and 1,300.58 is: 1,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.83 : 2,709.83 = 1,300.58 : x
  2. Step 2: Convert to fraction form
    1,962.83/2,709.83 = 1,300.58/x
  3. Step 3: Cross multiply
    1,962.83x = 2,709.83 × 1,300.58
  4. Step 4: Simplify right side
    1,962.83x = 3,524,354.53
  5. Step 5: Solve for x
    x = 3,524,354.53/1,962.83
  6. Step 6: Final answer
    x = 1,795.55

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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.