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Finding the Fourth Proportional to 1,397.79, 2,094.33 and 986.19

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Solution

The fourth proportional to 1,397.79, 2,094.33 and 986.19 is: 1,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.79 : 2,094.33 = 986.19 : x
  2. Step 2: Convert to fraction form
    1,397.79/2,094.33 = 986.19/x
  3. Step 3: Cross multiply
    1,397.79x = 2,094.33 × 986.19
  4. Step 4: Simplify right side
    1,397.79x = 2,065,407.30
  5. Step 5: Solve for x
    x = 2,065,407.30/1,397.79
  6. Step 6: Final answer
    x = 1,477.62

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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.