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Finding the Fourth Proportional to 1,725.96, 2,376 and 1,559.67

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Solution

The fourth proportional to 1,725.96, 2,376 and 1,559.67 is: 2,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.96 : 2,376 = 1,559.67 : x
  2. Step 2: Convert to fraction form
    1,725.96/2,376 = 1,559.67/x
  3. Step 3: Cross multiply
    1,725.96x = 2,376 × 1,559.67
  4. Step 4: Simplify right side
    1,725.96x = 3,705,775.92
  5. Step 5: Solve for x
    x = 3,705,775.92/1,725.96
  6. Step 6: Final answer
    x = 2,147.08

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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.