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Finding the Fourth Proportional to 2,302.84, 3,177.90 and 1,254.84

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Solution

The fourth proportional to 2,302.84, 3,177.90 and 1,254.84 is: 1,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.84 : 3,177.90 = 1,254.84 : x
  2. Step 2: Convert to fraction form
    2,302.84/3,177.90 = 1,254.84/x
  3. Step 3: Cross multiply
    2,302.84x = 3,177.90 × 1,254.84
  4. Step 4: Simplify right side
    2,302.84x = 3,987,756.04
  5. Step 5: Solve for x
    x = 3,987,756.04/2,302.84
  6. Step 6: Final answer
    x = 1,731.67

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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.