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Finding the Fourth Proportional to 1,404.23, 2,102.66 and 909.87

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Solution

The fourth proportional to 1,404.23, 2,102.66 and 909.87 is: 1,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.23 : 2,102.66 = 909.87 : x
  2. Step 2: Convert to fraction form
    1,404.23/2,102.66 = 909.87/x
  3. Step 3: Cross multiply
    1,404.23x = 2,102.66 × 909.87
  4. Step 4: Simplify right side
    1,404.23x = 1,913,142.70
  5. Step 5: Solve for x
    x = 1,913,142.70/1,404.23
  6. Step 6: Final answer
    x = 1,362.42

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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.