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Finding the Fourth Proportional to 2,071.71, 3,106.04 and 975.47

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Solution

The fourth proportional to 2,071.71, 3,106.04 and 975.47 is: 1,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.71 : 3,106.04 = 975.47 : x
  2. Step 2: Convert to fraction form
    2,071.71/3,106.04 = 975.47/x
  3. Step 3: Cross multiply
    2,071.71x = 3,106.04 × 975.47
  4. Step 4: Simplify right side
    2,071.71x = 3,029,828.43
  5. Step 5: Solve for x
    x = 3,029,828.43/2,071.71
  6. Step 6: Final answer
    x = 1,462.48

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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.