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Finding the Fourth Proportional to 1,410.42, 2,113.74 and 793.88

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Solution

The fourth proportional to 1,410.42, 2,113.74 and 793.88 is: 1,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.42 : 2,113.74 = 793.88 : x
  2. Step 2: Convert to fraction form
    1,410.42/2,113.74 = 793.88/x
  3. Step 3: Cross multiply
    1,410.42x = 2,113.74 × 793.88
  4. Step 4: Simplify right side
    1,410.42x = 1,678,045.34
  5. Step 5: Solve for x
    x = 1,678,045.34/1,410.42
  6. Step 6: Final answer
    x = 1,189.75

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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.