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Finding the Fourth Proportional to 2,677.44, 4,014.72 and 1,948.80

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Solution

The fourth proportional to 2,677.44, 4,014.72 and 1,948.80 is: 2,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.44 : 4,014.72 = 1,948.80 : x
  2. Step 2: Convert to fraction form
    2,677.44/4,014.72 = 1,948.80/x
  3. Step 3: Cross multiply
    2,677.44x = 4,014.72 × 1,948.80
  4. Step 4: Simplify right side
    2,677.44x = 7,823,886.34
  5. Step 5: Solve for x
    x = 7,823,886.34/2,677.44
  6. Step 6: Final answer
    x = 2,922.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.