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Finding the Fourth Proportional to 2,477.13, 3,715.41 and 628.25

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Solution

The fourth proportional to 2,477.13, 3,715.41 and 628.25 is: 942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.13 : 3,715.41 = 628.25 : x
  2. Step 2: Convert to fraction form
    2,477.13/3,715.41 = 628.25/x
  3. Step 3: Cross multiply
    2,477.13x = 3,715.41 × 628.25
  4. Step 4: Simplify right side
    2,477.13x = 2,334,187.76
  5. Step 5: Solve for x
    x = 2,334,187.76/2,477.13
  6. Step 6: Final answer
    x = 942.30

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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.