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Finding the Fourth Proportional to 2,352.69, 3,246.95 and 1,304.95

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Solution

The fourth proportional to 2,352.69, 3,246.95 and 1,304.95 is: 1,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.69 : 3,246.95 = 1,304.95 : x
  2. Step 2: Convert to fraction form
    2,352.69/3,246.95 = 1,304.95/x
  3. Step 3: Cross multiply
    2,352.69x = 3,246.95 × 1,304.95
  4. Step 4: Simplify right side
    2,352.69x = 4,237,107.40
  5. Step 5: Solve for x
    x = 4,237,107.40/2,352.69
  6. Step 6: Final answer
    x = 1,800.96

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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.