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Finding the Fourth Proportional to 1,777.54, 2,452.81 and 1,031.35

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Solution

The fourth proportional to 1,777.54, 2,452.81 and 1,031.35 is: 1,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.54 : 2,452.81 = 1,031.35 : x
  2. Step 2: Convert to fraction form
    1,777.54/2,452.81 = 1,031.35/x
  3. Step 3: Cross multiply
    1,777.54x = 2,452.81 × 1,031.35
  4. Step 4: Simplify right side
    1,777.54x = 2,529,709.97
  5. Step 5: Solve for x
    x = 2,529,709.97/1,777.54
  6. Step 6: Final answer
    x = 1,423.16

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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.