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Finding the Fourth Proportional to 1,886.92, 2,830.73 and 846.95

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Solution

The fourth proportional to 1,886.92, 2,830.73 and 846.95 is: 1,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.92 : 2,830.73 = 846.95 : x
  2. Step 2: Convert to fraction form
    1,886.92/2,830.73 = 846.95/x
  3. Step 3: Cross multiply
    1,886.92x = 2,830.73 × 846.95
  4. Step 4: Simplify right side
    1,886.92x = 2,397,468.39
  5. Step 5: Solve for x
    x = 2,397,468.39/1,886.92
  6. Step 6: Final answer
    x = 1,270.57

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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.