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Finding the Fourth Proportional to 2,477.51, 3,715.94 and 628.47

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Solution

The fourth proportional to 2,477.51, 3,715.94 and 628.47 is: 942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.51 : 3,715.94 = 628.47 : x
  2. Step 2: Convert to fraction form
    2,477.51/3,715.94 = 628.47/x
  3. Step 3: Cross multiply
    2,477.51x = 3,715.94 × 628.47
  4. Step 4: Simplify right side
    2,477.51x = 2,335,356.81
  5. Step 5: Solve for x
    x = 2,335,356.81/2,477.51
  6. Step 6: Final answer
    x = 942.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.