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Finding the Fourth Proportional to 1,395.78, 2,094.30 and 421.98

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Solution

The fourth proportional to 1,395.78, 2,094.30 and 421.98 is: 633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.78 : 2,094.30 = 421.98 : x
  2. Step 2: Convert to fraction form
    1,395.78/2,094.30 = 421.98/x
  3. Step 3: Cross multiply
    1,395.78x = 2,094.30 × 421.98
  4. Step 4: Simplify right side
    1,395.78x = 883,752.71
  5. Step 5: Solve for x
    x = 883,752.71/1,395.78
  6. Step 6: Final answer
    x = 633.16

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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.