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Finding the Fourth Proportional to 1,402.08, 2,102.87 and 989.96

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Solution

The fourth proportional to 1,402.08, 2,102.87 and 989.96 is: 1,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.08 : 2,102.87 = 989.96 : x
  2. Step 2: Convert to fraction form
    1,402.08/2,102.87 = 989.96/x
  3. Step 3: Cross multiply
    1,402.08x = 2,102.87 × 989.96
  4. Step 4: Simplify right side
    1,402.08x = 2,081,741.72
  5. Step 5: Solve for x
    x = 2,081,741.72/1,402.08
  6. Step 6: Final answer
    x = 1,484.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.