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Finding the Fourth Proportional to 2,152.36, 2,970.03 and 1,208.26

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Solution

The fourth proportional to 2,152.36, 2,970.03 and 1,208.26 is: 1,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.36 : 2,970.03 = 1,208.26 : x
  2. Step 2: Convert to fraction form
    2,152.36/2,970.03 = 1,208.26/x
  3. Step 3: Cross multiply
    2,152.36x = 2,970.03 × 1,208.26
  4. Step 4: Simplify right side
    2,152.36x = 3,588,563.29
  5. Step 5: Solve for x
    x = 3,588,563.29/2,152.36
  6. Step 6: Final answer
    x = 1,667.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.