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Finding the Fourth Proportional to 1,836.48, 2,533.80 and 1,050.48

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Solution

The fourth proportional to 1,836.48, 2,533.80 and 1,050.48 is: 1,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.48 : 2,533.80 = 1,050.48 : x
  2. Step 2: Convert to fraction form
    1,836.48/2,533.80 = 1,050.48/x
  3. Step 3: Cross multiply
    1,836.48x = 2,533.80 × 1,050.48
  4. Step 4: Simplify right side
    1,836.48x = 2,661,706.22
  5. Step 5: Solve for x
    x = 2,661,706.22/1,836.48
  6. Step 6: Final answer
    x = 1,449.35

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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.