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Finding the Fourth Proportional to 2,775.40, 4,160.66 and 1,803.40

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Solution

The fourth proportional to 2,775.40, 4,160.66 and 1,803.40 is: 2,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.40 : 4,160.66 = 1,803.40 : x
  2. Step 2: Convert to fraction form
    2,775.40/4,160.66 = 1,803.40/x
  3. Step 3: Cross multiply
    2,775.40x = 4,160.66 × 1,803.40
  4. Step 4: Simplify right side
    2,775.40x = 7,503,334.24
  5. Step 5: Solve for x
    x = 7,503,334.24/2,775.40
  6. Step 6: Final answer
    x = 2,703.51

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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.