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Finding the Fourth Proportional to 2,523.67, 3,482.88 and 1,461.82

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Solution

The fourth proportional to 2,523.67, 3,482.88 and 1,461.82 is: 2,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.67 : 3,482.88 = 1,461.82 : x
  2. Step 2: Convert to fraction form
    2,523.67/3,482.88 = 1,461.82/x
  3. Step 3: Cross multiply
    2,523.67x = 3,482.88 × 1,461.82
  4. Step 4: Simplify right side
    2,523.67x = 5,091,343.64
  5. Step 5: Solve for x
    x = 5,091,343.64/2,523.67
  6. Step 6: Final answer
    x = 2,017.44

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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.