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Finding the Fourth Proportional to 2,886.30, 4,323.94 and 1,649.93

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Solution

The fourth proportional to 2,886.30, 4,323.94 and 1,649.93 is: 2,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.30 : 4,323.94 = 1,649.93 : x
  2. Step 2: Convert to fraction form
    2,886.30/4,323.94 = 1,649.93/x
  3. Step 3: Cross multiply
    2,886.30x = 4,323.94 × 1,649.93
  4. Step 4: Simplify right side
    2,886.30x = 7,134,172.58
  5. Step 5: Solve for x
    x = 7,134,172.58/2,886.30
  6. Step 6: Final answer
    x = 2,471.74

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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.