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Finding the Fourth Proportional to 2,152.77, 2,970.94 and 1,208.51

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Solution

The fourth proportional to 2,152.77, 2,970.94 and 1,208.51 is: 1,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.77 : 2,970.94 = 1,208.51 : x
  2. Step 2: Convert to fraction form
    2,152.77/2,970.94 = 1,208.51/x
  3. Step 3: Cross multiply
    2,152.77x = 2,970.94 × 1,208.51
  4. Step 4: Simplify right side
    2,152.77x = 3,590,410.70
  5. Step 5: Solve for x
    x = 3,590,410.70/2,152.77
  6. Step 6: Final answer
    x = 1,667.81

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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.