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Finding the Fourth Proportional to 2,343.51, 3,234.60 and 1,412.01

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Solution

The fourth proportional to 2,343.51, 3,234.60 and 1,412.01 is: 1,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.51 : 3,234.60 = 1,412.01 : x
  2. Step 2: Convert to fraction form
    2,343.51/3,234.60 = 1,412.01/x
  3. Step 3: Cross multiply
    2,343.51x = 3,234.60 × 1,412.01
  4. Step 4: Simplify right side
    2,343.51x = 4,567,287.55
  5. Step 5: Solve for x
    x = 4,567,287.55/2,343.51
  6. Step 6: Final answer
    x = 1,948.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.