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Finding the Fourth Proportional to 1,590.93, 2,390.04 and 942.12

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Solution

The fourth proportional to 1,590.93, 2,390.04 and 942.12 is: 1,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.93 : 2,390.04 = 942.12 : x
  2. Step 2: Convert to fraction form
    1,590.93/2,390.04 = 942.12/x
  3. Step 3: Cross multiply
    1,590.93x = 2,390.04 × 942.12
  4. Step 4: Simplify right side
    1,590.93x = 2,251,704.48
  5. Step 5: Solve for x
    x = 2,251,704.48/1,590.93
  6. Step 6: Final answer
    x = 1,415.34

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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.