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Finding the Fourth Proportional to 1,851.50, 2,555.07 and 1,023.50

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Solution

The fourth proportional to 1,851.50, 2,555.07 and 1,023.50 is: 1,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.50 : 2,555.07 = 1,023.50 : x
  2. Step 2: Convert to fraction form
    1,851.50/2,555.07 = 1,023.50/x
  3. Step 3: Cross multiply
    1,851.50x = 2,555.07 × 1,023.50
  4. Step 4: Simplify right side
    1,851.50x = 2,615,114.15
  5. Step 5: Solve for x
    x = 2,615,114.15/1,851.50
  6. Step 6: Final answer
    x = 1,412.43

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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.