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Finding the Fourth Proportional to 2,950.12, 4,071.01 and 1,690.93

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Solution

The fourth proportional to 2,950.12, 4,071.01 and 1,690.93 is: 2,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.12 : 4,071.01 = 1,690.93 : x
  2. Step 2: Convert to fraction form
    2,950.12/4,071.01 = 1,690.93/x
  3. Step 3: Cross multiply
    2,950.12x = 4,071.01 × 1,690.93
  4. Step 4: Simplify right side
    2,950.12x = 6,883,774.07
  5. Step 5: Solve for x
    x = 6,883,774.07/2,950.12
  6. Step 6: Final answer
    x = 2,333.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.