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Finding the Fourth Proportional to 1,776.94, 2,452.02 and 1,146.76

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Solution

The fourth proportional to 1,776.94, 2,452.02 and 1,146.76 is: 1,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.94 : 2,452.02 = 1,146.76 : x
  2. Step 2: Convert to fraction form
    1,776.94/2,452.02 = 1,146.76/x
  3. Step 3: Cross multiply
    1,776.94x = 2,452.02 × 1,146.76
  4. Step 4: Simplify right side
    1,776.94x = 2,811,874.48
  5. Step 5: Solve for x
    x = 2,811,874.48/1,776.94
  6. Step 6: Final answer
    x = 1,582.43

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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.