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Finding the Fourth Proportional to 2,678.85, 4,018.81 and 948.69

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Solution

The fourth proportional to 2,678.85, 4,018.81 and 948.69 is: 1,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.85 : 4,018.81 = 948.69 : x
  2. Step 2: Convert to fraction form
    2,678.85/4,018.81 = 948.69/x
  3. Step 3: Cross multiply
    2,678.85x = 4,018.81 × 948.69
  4. Step 4: Simplify right side
    2,678.85x = 3,812,584.76
  5. Step 5: Solve for x
    x = 3,812,584.76/2,678.85
  6. Step 6: Final answer
    x = 1,423.22

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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.