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Finding the Fourth Proportional to 1,397.67, 2,094.90 and 781.67

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Solution

The fourth proportional to 1,397.67, 2,094.90 and 781.67 is: 1,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.67 : 2,094.90 = 781.67 : x
  2. Step 2: Convert to fraction form
    1,397.67/2,094.90 = 781.67/x
  3. Step 3: Cross multiply
    1,397.67x = 2,094.90 × 781.67
  4. Step 4: Simplify right side
    1,397.67x = 1,637,510.01
  5. Step 5: Solve for x
    x = 1,637,510.01/1,397.67
  6. Step 6: Final answer
    x = 1,171.60

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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.