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Finding the Fourth Proportional to 1,469.64, 2,013.59 and 1,451.42

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Solution

The fourth proportional to 1,469.64, 2,013.59 and 1,451.42 is: 1,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.64 : 2,013.59 = 1,451.42 : x
  2. Step 2: Convert to fraction form
    1,469.64/2,013.59 = 1,451.42/x
  3. Step 3: Cross multiply
    1,469.64x = 2,013.59 × 1,451.42
  4. Step 4: Simplify right side
    1,469.64x = 2,922,547.47
  5. Step 5: Solve for x
    x = 2,922,547.47/1,469.64
  6. Step 6: Final answer
    x = 1,988.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.