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Finding the Fourth Proportional to 3,059.36, 4,590.13 and 1,888

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Solution

The fourth proportional to 3,059.36, 4,590.13 and 1,888 is: 2,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.36 : 4,590.13 = 1,888 : x
  2. Step 2: Convert to fraction form
    3,059.36/4,590.13 = 1,888/x
  3. Step 3: Cross multiply
    3,059.36x = 4,590.13 × 1,888
  4. Step 4: Simplify right side
    3,059.36x = 8,666,165.44
  5. Step 5: Solve for x
    x = 8,666,165.44/3,059.36
  6. Step 6: Final answer
    x = 2,832.67

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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.