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Finding the Fourth Proportional to 4,602.43, 6,902.65 and 1,314.64

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Solution

The fourth proportional to 4,602.43, 6,902.65 and 1,314.64 is: 1,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.43 : 6,902.65 = 1,314.64 : x
  2. Step 2: Convert to fraction form
    4,602.43/6,902.65 = 1,314.64/x
  3. Step 3: Cross multiply
    4,602.43x = 6,902.65 × 1,314.64
  4. Step 4: Simplify right side
    4,602.43x = 9,074,499.80
  5. Step 5: Solve for x
    x = 9,074,499.80/4,602.43
  6. Step 6: Final answer
    x = 1,971.68

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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.