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Finding the Fourth Proportional to 2,941.50, 4,410.13 and 1,460.42

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Solution

The fourth proportional to 2,941.50, 4,410.13 and 1,460.42 is: 2,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.50 : 4,410.13 = 1,460.42 : x
  2. Step 2: Convert to fraction form
    2,941.50/4,410.13 = 1,460.42/x
  3. Step 3: Cross multiply
    2,941.50x = 4,410.13 × 1,460.42
  4. Step 4: Simplify right side
    2,941.50x = 6,440,642.05
  5. Step 5: Solve for x
    x = 6,440,642.05/2,941.50
  6. Step 6: Final answer
    x = 2,189.58

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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.