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Finding the Fourth Proportional to 1,595.70, 2,389.04 and 1,074.67

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Solution

The fourth proportional to 1,595.70, 2,389.04 and 1,074.67 is: 1,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.70 : 2,389.04 = 1,074.67 : x
  2. Step 2: Convert to fraction form
    1,595.70/2,389.04 = 1,074.67/x
  3. Step 3: Cross multiply
    1,595.70x = 2,389.04 × 1,074.67
  4. Step 4: Simplify right side
    1,595.70x = 2,567,428.35
  5. Step 5: Solve for x
    x = 2,567,428.35/1,595.70
  6. Step 6: Final answer
    x = 1,608.97

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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.