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Finding the Fourth Proportional to 3,028.91, 4,543.37 and 948.93

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Solution

The fourth proportional to 3,028.91, 4,543.37 and 948.93 is: 1,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.91 : 4,543.37 = 948.93 : x
  2. Step 2: Convert to fraction form
    3,028.91/4,543.37 = 948.93/x
  3. Step 3: Cross multiply
    3,028.91x = 4,543.37 × 948.93
  4. Step 4: Simplify right side
    3,028.91x = 4,311,335.35
  5. Step 5: Solve for x
    x = 4,311,335.35/3,028.91
  6. Step 6: Final answer
    x = 1,423.40

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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.