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Finding the Fourth Proportional to 2,989.93, 4,125.93 and 1,663.60

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Solution

The fourth proportional to 2,989.93, 4,125.93 and 1,663.60 is: 2,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.93 : 4,125.93 = 1,663.60 : x
  2. Step 2: Convert to fraction form
    2,989.93/4,125.93 = 1,663.60/x
  3. Step 3: Cross multiply
    2,989.93x = 4,125.93 × 1,663.60
  4. Step 4: Simplify right side
    2,989.93x = 6,863,897.15
  5. Step 5: Solve for x
    x = 6,863,897.15/2,989.93
  6. Step 6: Final answer
    x = 2,295.67

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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.