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Finding the Fourth Proportional to 2,674.32, 4,009.93 and 824.93

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Solution

The fourth proportional to 2,674.32, 4,009.93 and 824.93 is: 1,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.32 : 4,009.93 = 824.93 : x
  2. Step 2: Convert to fraction form
    2,674.32/4,009.93 = 824.93/x
  3. Step 3: Cross multiply
    2,674.32x = 4,009.93 × 824.93
  4. Step 4: Simplify right side
    2,674.32x = 3,307,929.36
  5. Step 5: Solve for x
    x = 3,307,929.36/2,674.32
  6. Step 6: Final answer
    x = 1,236.93

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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.