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Finding the Fourth Proportional to 2,378.97, 3,564.53 and 818.14

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Solution

The fourth proportional to 2,378.97, 3,564.53 and 818.14 is: 1,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.97 : 3,564.53 = 818.14 : x
  2. Step 2: Convert to fraction form
    2,378.97/3,564.53 = 818.14/x
  3. Step 3: Cross multiply
    2,378.97x = 3,564.53 × 818.14
  4. Step 4: Simplify right side
    2,378.97x = 2,916,274.64
  5. Step 5: Solve for x
    x = 2,916,274.64/2,378.97
  6. Step 6: Final answer
    x = 1,225.85

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1.5x scale

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.