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Finding the Fourth Proportional to 2,756.68, 3,804.54 and 2,056.84

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Solution

The fourth proportional to 2,756.68, 3,804.54 and 2,056.84 is: 2,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.68 : 3,804.54 = 2,056.84 : x
  2. Step 2: Convert to fraction form
    2,756.68/3,804.54 = 2,056.84/x
  3. Step 3: Cross multiply
    2,756.68x = 3,804.54 × 2,056.84
  4. Step 4: Simplify right side
    2,756.68x = 7,825,330.05
  5. Step 5: Solve for x
    x = 7,825,330.05/2,756.68
  6. Step 6: Final answer
    x = 2,838.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.