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Finding the Fourth Proportional to 2,416.58, 3,331.28 and 1,752.38

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Solution

The fourth proportional to 2,416.58, 3,331.28 and 1,752.38 is: 2,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.58 : 3,331.28 = 1,752.38 : x
  2. Step 2: Convert to fraction form
    2,416.58/3,331.28 = 1,752.38/x
  3. Step 3: Cross multiply
    2,416.58x = 3,331.28 × 1,752.38
  4. Step 4: Simplify right side
    2,416.58x = 5,837,668.45
  5. Step 5: Solve for x
    x = 5,837,668.45/2,416.58
  6. Step 6: Final answer
    x = 2,415.67

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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.