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Finding the Fourth Proportional to 2,352.54, 3,246.53 and 1,304.67

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Solution

The fourth proportional to 2,352.54, 3,246.53 and 1,304.67 is: 1,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.54 : 3,246.53 = 1,304.67 : x
  2. Step 2: Convert to fraction form
    2,352.54/3,246.53 = 1,304.67/x
  3. Step 3: Cross multiply
    2,352.54x = 3,246.53 × 1,304.67
  4. Step 4: Simplify right side
    2,352.54x = 4,235,650.30
  5. Step 5: Solve for x
    x = 4,235,650.30/2,352.54
  6. Step 6: Final answer
    x = 1,800.46

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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.