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Finding the Fourth Proportional to 4,602.56, 6,902.80 and 1,314.96

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Solution

The fourth proportional to 4,602.56, 6,902.80 and 1,314.96 is: 1,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.56 : 6,902.80 = 1,314.96 : x
  2. Step 2: Convert to fraction form
    4,602.56/6,902.80 = 1,314.96/x
  3. Step 3: Cross multiply
    4,602.56x = 6,902.80 × 1,314.96
  4. Step 4: Simplify right side
    4,602.56x = 9,076,905.89
  5. Step 5: Solve for x
    x = 9,076,905.89/4,602.56
  6. Step 6: Final answer
    x = 1,972.14

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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.