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Finding the Fourth Proportional to 3,090, 4,262.40 and 2,146.32

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Solution

The fourth proportional to 3,090, 4,262.40 and 2,146.32 is: 2,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090 : 4,262.40 = 2,146.32 : x
  2. Step 2: Convert to fraction form
    3,090/4,262.40 = 2,146.32/x
  3. Step 3: Cross multiply
    3,090x = 4,262.40 × 2,146.32
  4. Step 4: Simplify right side
    3,090x = 9,148,474.37
  5. Step 5: Solve for x
    x = 9,148,474.37/3,090
  6. Step 6: Final answer
    x = 2,960.67

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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.