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Finding the Fourth Proportional to 2,369.45, 3,554.00 and 725.85

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Solution

The fourth proportional to 2,369.45, 3,554.00 and 725.85 is: 1,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.45 : 3,554.00 = 725.85 : x
  2. Step 2: Convert to fraction form
    2,369.45/3,554.00 = 725.85/x
  3. Step 3: Cross multiply
    2,369.45x = 3,554.00 × 725.85
  4. Step 4: Simplify right side
    2,369.45x = 2,579,672.71
  5. Step 5: Solve for x
    x = 2,579,672.71/2,369.45
  6. Step 6: Final answer
    x = 1,088.72

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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.