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Finding the Fourth Proportional to 1,851.30, 2,776.28 and 755.08

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Solution

The fourth proportional to 1,851.30, 2,776.28 and 755.08 is: 1,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.30 : 2,776.28 = 755.08 : x
  2. Step 2: Convert to fraction form
    1,851.30/2,776.28 = 755.08/x
  3. Step 3: Cross multiply
    1,851.30x = 2,776.28 × 755.08
  4. Step 4: Simplify right side
    1,851.30x = 2,096,313.50
  5. Step 5: Solve for x
    x = 2,096,313.50/1,851.30
  6. Step 6: Final answer
    x = 1,132.35

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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.