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Finding the Fourth Proportional to 3,128.56, 4,316.81 and 1,784.14

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Solution

The fourth proportional to 3,128.56, 4,316.81 and 1,784.14 is: 2,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.56 : 4,316.81 = 1,784.14 : x
  2. Step 2: Convert to fraction form
    3,128.56/4,316.81 = 1,784.14/x
  3. Step 3: Cross multiply
    3,128.56x = 4,316.81 × 1,784.14
  4. Step 4: Simplify right side
    3,128.56x = 7,701,793.39
  5. Step 5: Solve for x
    x = 7,701,793.39/3,128.56
  6. Step 6: Final answer
    x = 2,461.77

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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.