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Finding the Fourth Proportional to 2,523.91, 3,482.71 and 1,461.51

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Solution

The fourth proportional to 2,523.91, 3,482.71 and 1,461.51 is: 2,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.91 : 3,482.71 = 1,461.51 : x
  2. Step 2: Convert to fraction form
    2,523.91/3,482.71 = 1,461.51/x
  3. Step 3: Cross multiply
    2,523.91x = 3,482.71 × 1,461.51
  4. Step 4: Simplify right side
    2,523.91x = 5,090,015.49
  5. Step 5: Solve for x
    x = 5,090,015.49/2,523.91
  6. Step 6: Final answer
    x = 2,016.72

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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.