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Finding the Fourth Proportional to 4,895.64, 7,344.46 and 1,608.40

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Solution

The fourth proportional to 4,895.64, 7,344.46 and 1,608.40 is: 2,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.64 : 7,344.46 = 1,608.40 : x
  2. Step 2: Convert to fraction form
    4,895.64/7,344.46 = 1,608.40/x
  3. Step 3: Cross multiply
    4,895.64x = 7,344.46 × 1,608.40
  4. Step 4: Simplify right side
    4,895.64x = 11,812,829.46
  5. Step 5: Solve for x
    x = 11,812,829.46/4,895.64
  6. Step 6: Final answer
    x = 2,412.93

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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.