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Finding the Fourth Proportional to 2,536.68, 3,804.90 and 893.10

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Solution

The fourth proportional to 2,536.68, 3,804.90 and 893.10 is: 1,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.68 : 3,804.90 = 893.10 : x
  2. Step 2: Convert to fraction form
    2,536.68/3,804.90 = 893.10/x
  3. Step 3: Cross multiply
    2,536.68x = 3,804.90 × 893.10
  4. Step 4: Simplify right side
    2,536.68x = 3,398,156.19
  5. Step 5: Solve for x
    x = 3,398,156.19/2,536.68
  6. Step 6: Final answer
    x = 1,339.61

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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.