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Finding the Fourth Proportional to 2,661.42, 3,672.59 and 1,482.42

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Solution

The fourth proportional to 2,661.42, 3,672.59 and 1,482.42 is: 2,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.42 : 3,672.59 = 1,482.42 : x
  2. Step 2: Convert to fraction form
    2,661.42/3,672.59 = 1,482.42/x
  3. Step 3: Cross multiply
    2,661.42x = 3,672.59 × 1,482.42
  4. Step 4: Simplify right side
    2,661.42x = 5,444,313.46
  5. Step 5: Solve for x
    x = 5,444,313.46/2,661.42
  6. Step 6: Final answer
    x = 2,045.64

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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.