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Finding the Fourth Proportional to 1,852.54, 2,775.03 and 1,790.26

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Solution

The fourth proportional to 1,852.54, 2,775.03 and 1,790.26 is: 2,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.54 : 2,775.03 = 1,790.26 : x
  2. Step 2: Convert to fraction form
    1,852.54/2,775.03 = 1,790.26/x
  3. Step 3: Cross multiply
    1,852.54x = 2,775.03 × 1,790.26
  4. Step 4: Simplify right side
    1,852.54x = 4,968,025.21
  5. Step 5: Solve for x
    x = 4,968,025.21/1,852.54
  6. Step 6: Final answer
    x = 2,681.74

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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.