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Finding the Fourth Proportional to 1,852.40, 2,777.36 and 756.48

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Solution

The fourth proportional to 1,852.40, 2,777.36 and 756.48 is: 1,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.40 : 2,777.36 = 756.48 : x
  2. Step 2: Convert to fraction form
    1,852.40/2,777.36 = 756.48/x
  3. Step 3: Cross multiply
    1,852.40x = 2,777.36 × 756.48
  4. Step 4: Simplify right side
    1,852.40x = 2,101,017.29
  5. Step 5: Solve for x
    x = 2,101,017.29/1,852.40
  6. Step 6: Final answer
    x = 1,134.21

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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.