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Finding the Fourth Proportional to 2,071.86, 3,106.27 and 975.61

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Solution

The fourth proportional to 2,071.86, 3,106.27 and 975.61 is: 1,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.86 : 3,106.27 = 975.61 : x
  2. Step 2: Convert to fraction form
    2,071.86/3,106.27 = 975.61/x
  3. Step 3: Cross multiply
    2,071.86x = 3,106.27 × 975.61
  4. Step 4: Simplify right side
    2,071.86x = 3,030,508.07
  5. Step 5: Solve for x
    x = 3,030,508.07/2,071.86
  6. Step 6: Final answer
    x = 1,462.70

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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.