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Finding the Fourth Proportional to 1,404.37, 2,106.42 and 942.40

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Solution

The fourth proportional to 1,404.37, 2,106.42 and 942.40 is: 1,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.37 : 2,106.42 = 942.40 : x
  2. Step 2: Convert to fraction form
    1,404.37/2,106.42 = 942.40/x
  3. Step 3: Cross multiply
    1,404.37x = 2,106.42 × 942.40
  4. Step 4: Simplify right side
    1,404.37x = 1,985,090.21
  5. Step 5: Solve for x
    x = 1,985,090.21/1,404.37
  6. Step 6: Final answer
    x = 1,413.51

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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.