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Finding the Fourth Proportional to 2,444.63, 3,667.61 and 713.25

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Solution

The fourth proportional to 2,444.63, 3,667.61 and 713.25 is: 1,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.63 : 3,667.61 = 713.25 : x
  2. Step 2: Convert to fraction form
    2,444.63/3,667.61 = 713.25/x
  3. Step 3: Cross multiply
    2,444.63x = 3,667.61 × 713.25
  4. Step 4: Simplify right side
    2,444.63x = 2,615,924.62
  5. Step 5: Solve for x
    x = 2,615,924.62/2,444.63
  6. Step 6: Final answer
    x = 1,070.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.