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Finding the Fourth Proportional to 2,523.46, 3,482.61 and 1,461.61

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Solution

The fourth proportional to 2,523.46, 3,482.61 and 1,461.61 is: 2,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.46 : 3,482.61 = 1,461.61 : x
  2. Step 2: Convert to fraction form
    2,523.46/3,482.61 = 1,461.61/x
  3. Step 3: Cross multiply
    2,523.46x = 3,482.61 × 1,461.61
  4. Step 4: Simplify right side
    2,523.46x = 5,090,217.60
  5. Step 5: Solve for x
    x = 5,090,217.60/2,523.46
  6. Step 6: Final answer
    x = 2,017.16

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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.