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Finding the Fourth Proportional to 1,765.20, 2,646.16 and 610.16

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Solution

The fourth proportional to 1,765.20, 2,646.16 and 610.16 is: 914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.20 : 2,646.16 = 610.16 : x
  2. Step 2: Convert to fraction form
    1,765.20/2,646.16 = 610.16/x
  3. Step 3: Cross multiply
    1,765.20x = 2,646.16 × 610.16
  4. Step 4: Simplify right side
    1,765.20x = 1,614,580.99
  5. Step 5: Solve for x
    x = 1,614,580.99/1,765.20
  6. Step 6: Final answer
    x = 914.67

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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.