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Finding the Fourth Proportional to 3,109.92, 4,291.52 and 1,783.50

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Solution

The fourth proportional to 3,109.92, 4,291.52 and 1,783.50 is: 2,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.92 : 4,291.52 = 1,783.50 : x
  2. Step 2: Convert to fraction form
    3,109.92/4,291.52 = 1,783.50/x
  3. Step 3: Cross multiply
    3,109.92x = 4,291.52 × 1,783.50
  4. Step 4: Simplify right side
    3,109.92x = 7,653,917.00
  5. Step 5: Solve for x
    x = 7,653,917.00/3,109.92
  6. Step 6: Final answer
    x = 2,461.13

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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.