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Finding the Fourth Proportional to 1,776.54, 2,450.61 and 1,155.54

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Solution

The fourth proportional to 1,776.54, 2,450.61 and 1,155.54 is: 1,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.54 : 2,450.61 = 1,155.54 : x
  2. Step 2: Convert to fraction form
    1,776.54/2,450.61 = 1,155.54/x
  3. Step 3: Cross multiply
    1,776.54x = 2,450.61 × 1,155.54
  4. Step 4: Simplify right side
    1,776.54x = 2,831,777.88
  5. Step 5: Solve for x
    x = 2,831,777.88/1,776.54
  6. Step 6: Final answer
    x = 1,593.98

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1.5x scale

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.