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Finding the Fourth Proportional to 1,678.26, 2,515.88 and 638.06

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Solution

The fourth proportional to 1,678.26, 2,515.88 and 638.06 is: 956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.26 : 2,515.88 = 638.06 : x
  2. Step 2: Convert to fraction form
    1,678.26/2,515.88 = 638.06/x
  3. Step 3: Cross multiply
    1,678.26x = 2,515.88 × 638.06
  4. Step 4: Simplify right side
    1,678.26x = 1,605,282.39
  5. Step 5: Solve for x
    x = 1,605,282.39/1,678.26
  6. Step 6: Final answer
    x = 956.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.