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Finding the Fourth Proportional to 1,934.09, 2,899.83 and 893.51

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Solution

The fourth proportional to 1,934.09, 2,899.83 and 893.51 is: 1,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.09 : 2,899.83 = 893.51 : x
  2. Step 2: Convert to fraction form
    1,934.09/2,899.83 = 893.51/x
  3. Step 3: Cross multiply
    1,934.09x = 2,899.83 × 893.51
  4. Step 4: Simplify right side
    1,934.09x = 2,591,038.11
  5. Step 5: Solve for x
    x = 2,591,038.11/1,934.09
  6. Step 6: Final answer
    x = 1,339.67

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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.