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Finding the Fourth Proportional to 2,804.41, 4,203.99 and 954.23

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Solution

The fourth proportional to 2,804.41, 4,203.99 and 954.23 is: 1,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.41 : 4,203.99 = 954.23 : x
  2. Step 2: Convert to fraction form
    2,804.41/4,203.99 = 954.23/x
  3. Step 3: Cross multiply
    2,804.41x = 4,203.99 × 954.23
  4. Step 4: Simplify right side
    2,804.41x = 4,011,573.38
  5. Step 5: Solve for x
    x = 4,011,573.38/2,804.41
  6. Step 6: Final answer
    x = 1,430.45

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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.