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Finding the Fourth Proportional to 1,346.23, 2,018.78 and 421.54

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Solution

The fourth proportional to 1,346.23, 2,018.78 and 421.54 is: 632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.23 : 2,018.78 = 421.54 : x
  2. Step 2: Convert to fraction form
    1,346.23/2,018.78 = 421.54/x
  3. Step 3: Cross multiply
    1,346.23x = 2,018.78 × 421.54
  4. Step 4: Simplify right side
    1,346.23x = 850,996.52
  5. Step 5: Solve for x
    x = 850,996.52/1,346.23
  6. Step 6: Final answer
    x = 632.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.