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Finding the Fourth Proportional to 2,470.94, 3,703.95 and 2,033.54

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Solution

The fourth proportional to 2,470.94, 3,703.95 and 2,033.54 is: 3,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.94 : 3,703.95 = 2,033.54 : x
  2. Step 2: Convert to fraction form
    2,470.94/3,703.95 = 2,033.54/x
  3. Step 3: Cross multiply
    2,470.94x = 3,703.95 × 2,033.54
  4. Step 4: Simplify right side
    2,470.94x = 7,532,130.48
  5. Step 5: Solve for x
    x = 7,532,130.48/2,470.94
  6. Step 6: Final answer
    x = 3,048.29

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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.