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Finding the Fourth Proportional to 2,841.38, 4,262.73 and 893.53

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Solution

The fourth proportional to 2,841.38, 4,262.73 and 893.53 is: 1,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.38 : 4,262.73 = 893.53 : x
  2. Step 2: Convert to fraction form
    2,841.38/4,262.73 = 893.53/x
  3. Step 3: Cross multiply
    2,841.38x = 4,262.73 × 893.53
  4. Step 4: Simplify right side
    2,841.38x = 3,808,879.11
  5. Step 5: Solve for x
    x = 3,808,879.11/2,841.38
  6. Step 6: Final answer
    x = 1,340.50

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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.