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Finding the Fourth Proportional to 1,625.14, 2,242.80 and 926.51

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Solution

The fourth proportional to 1,625.14, 2,242.80 and 926.51 is: 1,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.14 : 2,242.80 = 926.51 : x
  2. Step 2: Convert to fraction form
    1,625.14/2,242.80 = 926.51/x
  3. Step 3: Cross multiply
    1,625.14x = 2,242.80 × 926.51
  4. Step 4: Simplify right side
    1,625.14x = 2,077,976.63
  5. Step 5: Solve for x
    x = 2,077,976.63/1,625.14
  6. Step 6: Final answer
    x = 1,278.64

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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.