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Finding the Fourth Proportional to 2,804.31, 4,207.37 and 955.58

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Solution

The fourth proportional to 2,804.31, 4,207.37 and 955.58 is: 1,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.31 : 4,207.37 = 955.58 : x
  2. Step 2: Convert to fraction form
    2,804.31/4,207.37 = 955.58/x
  3. Step 3: Cross multiply
    2,804.31x = 4,207.37 × 955.58
  4. Step 4: Simplify right side
    2,804.31x = 4,020,452.81
  5. Step 5: Solve for x
    x = 4,020,452.81/2,804.31
  6. Step 6: Final answer
    x = 1,433.67

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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.