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Finding the Fourth Proportional to 4,604.56, 6,905.80 and 1,316.96

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Solution

The fourth proportional to 4,604.56, 6,905.80 and 1,316.96 is: 1,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.56 : 6,905.80 = 1,316.96 : x
  2. Step 2: Convert to fraction form
    4,604.56/6,905.80 = 1,316.96/x
  3. Step 3: Cross multiply
    4,604.56x = 6,905.80 × 1,316.96
  4. Step 4: Simplify right side
    4,604.56x = 9,094,662.37
  5. Step 5: Solve for x
    x = 9,094,662.37/4,604.56
  6. Step 6: Final answer
    x = 1,975.14

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Why These Related Problems?

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