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Finding the Fourth Proportional to 1,402.86, 2,096.96 and 989.22

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Solution

The fourth proportional to 1,402.86, 2,096.96 and 989.22 is: 1,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.86 : 2,096.96 = 989.22 : x
  2. Step 2: Convert to fraction form
    1,402.86/2,096.96 = 989.22/x
  3. Step 3: Cross multiply
    1,402.86x = 2,096.96 × 989.22
  4. Step 4: Simplify right side
    1,402.86x = 2,074,349.83
  5. Step 5: Solve for x
    x = 2,074,349.83/1,402.86
  6. Step 6: Final answer
    x = 1,478.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.