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Finding the Fourth Proportional to 4,627.48, 6,941.01 and 1,340.50

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Solution

The fourth proportional to 4,627.48, 6,941.01 and 1,340.50 is: 2,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.48 : 6,941.01 = 1,340.50 : x
  2. Step 2: Convert to fraction form
    4,627.48/6,941.01 = 1,340.50/x
  3. Step 3: Cross multiply
    4,627.48x = 6,941.01 × 1,340.50
  4. Step 4: Simplify right side
    4,627.48x = 9,304,406.55
  5. Step 5: Solve for x
    x = 9,304,406.55/4,627.48
  6. Step 6: Final answer
    x = 2,010.69

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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.