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Finding the Fourth Proportional to 2,648.66, 3,973.08 and 893.69

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Solution

The fourth proportional to 2,648.66, 3,973.08 and 893.69 is: 1,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.66 : 3,973.08 = 893.69 : x
  2. Step 2: Convert to fraction form
    2,648.66/3,973.08 = 893.69/x
  3. Step 3: Cross multiply
    2,648.66x = 3,973.08 × 893.69
  4. Step 4: Simplify right side
    2,648.66x = 3,550,700.25
  5. Step 5: Solve for x
    x = 3,550,700.25/2,648.66
  6. Step 6: Final answer
    x = 1,340.57

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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.