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Finding the Fourth Proportional to 1,396.07, 2,094.57 and 746.66

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Solution

The fourth proportional to 1,396.07, 2,094.57 and 746.66 is: 1,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.07 : 2,094.57 = 746.66 : x
  2. Step 2: Convert to fraction form
    1,396.07/2,094.57 = 746.66/x
  3. Step 3: Cross multiply
    1,396.07x = 2,094.57 × 746.66
  4. Step 4: Simplify right side
    1,396.07x = 1,563,931.64
  5. Step 5: Solve for x
    x = 1,563,931.64/1,396.07
  6. Step 6: Final answer
    x = 1,120.24

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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.