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Finding the Fourth Proportional to 3,028.59, 4,543.52 and 948.87

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Solution

The fourth proportional to 3,028.59, 4,543.52 and 948.87 is: 1,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.59 : 4,543.52 = 948.87 : x
  2. Step 2: Convert to fraction form
    3,028.59/4,543.52 = 948.87/x
  3. Step 3: Cross multiply
    3,028.59x = 4,543.52 × 948.87
  4. Step 4: Simplify right side
    3,028.59x = 4,311,205.08
  5. Step 5: Solve for x
    x = 4,311,205.08/3,028.59
  6. Step 6: Final answer
    x = 1,423.50

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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.