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Finding the Fourth Proportional to 2,430, 3,647.43 and 1,278.18

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Solution

The fourth proportional to 2,430, 3,647.43 and 1,278.18 is: 1,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430 : 3,647.43 = 1,278.18 : x
  2. Step 2: Convert to fraction form
    2,430/3,647.43 = 1,278.18/x
  3. Step 3: Cross multiply
    2,430x = 3,647.43 × 1,278.18
  4. Step 4: Simplify right side
    2,430x = 4,662,072.08
  5. Step 5: Solve for x
    x = 4,662,072.08/2,430
  6. Step 6: Final answer
    x = 1,918.55

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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.