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Finding the Fourth Proportional to 3,071.41, 4,608.02 and 1,315.47

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Solution

The fourth proportional to 3,071.41, 4,608.02 and 1,315.47 is: 1,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.41 : 4,608.02 = 1,315.47 : x
  2. Step 2: Convert to fraction form
    3,071.41/4,608.02 = 1,315.47/x
  3. Step 3: Cross multiply
    3,071.41x = 4,608.02 × 1,315.47
  4. Step 4: Simplify right side
    3,071.41x = 6,061,712.07
  5. Step 5: Solve for x
    x = 6,061,712.07/3,071.41
  6. Step 6: Final answer
    x = 1,973.59

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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.