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Finding the Fourth Proportional to 1,576.25, 2,352.92 and 1,446.25

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Solution

The fourth proportional to 1,576.25, 2,352.92 and 1,446.25 is: 2,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.25 : 2,352.92 = 1,446.25 : x
  2. Step 2: Convert to fraction form
    1,576.25/2,352.92 = 1,446.25/x
  3. Step 3: Cross multiply
    1,576.25x = 2,352.92 × 1,446.25
  4. Step 4: Simplify right side
    1,576.25x = 3,402,897.44
  5. Step 5: Solve for x
    x = 3,402,897.44/1,576.25
  6. Step 6: Final answer
    x = 2,158.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.