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Finding the Fourth Proportional to 3,038.96, 4,556.86 and 1,478

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Solution

The fourth proportional to 3,038.96, 4,556.86 and 1,478 is: 2,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.96 : 4,556.86 = 1,478 : x
  2. Step 2: Convert to fraction form
    3,038.96/4,556.86 = 1,478/x
  3. Step 3: Cross multiply
    3,038.96x = 4,556.86 × 1,478
  4. Step 4: Simplify right side
    3,038.96x = 6,735,039.08
  5. Step 5: Solve for x
    x = 6,735,039.08/3,038.96
  6. Step 6: Final answer
    x = 2,216.23

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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.