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Finding the Fourth Proportional to 1,903.64, 2,629.05 and 1,829.84

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Solution

The fourth proportional to 1,903.64, 2,629.05 and 1,829.84 is: 2,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.64 : 2,629.05 = 1,829.84 : x
  2. Step 2: Convert to fraction form
    1,903.64/2,629.05 = 1,829.84/x
  3. Step 3: Cross multiply
    1,903.64x = 2,629.05 × 1,829.84
  4. Step 4: Simplify right side
    1,903.64x = 4,810,727.71
  5. Step 5: Solve for x
    x = 4,810,727.71/1,903.64
  6. Step 6: Final answer
    x = 2,527.13

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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.