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Finding the Fourth Proportional to 2,364.12, 3,262.62 and 1,316.08

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Solution

The fourth proportional to 2,364.12, 3,262.62 and 1,316.08 is: 1,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.12 : 3,262.62 = 1,316.08 : x
  2. Step 2: Convert to fraction form
    2,364.12/3,262.62 = 1,316.08/x
  3. Step 3: Cross multiply
    2,364.12x = 3,262.62 × 1,316.08
  4. Step 4: Simplify right side
    2,364.12x = 4,293,868.93
  5. Step 5: Solve for x
    x = 4,293,868.93/2,364.12
  6. Step 6: Final answer
    x = 1,816.27

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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.