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Finding the Fourth Proportional to 1,651.89, 2,477.53 and 556.23

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Solution

The fourth proportional to 1,651.89, 2,477.53 and 556.23 is: 834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.89 : 2,477.53 = 556.23 : x
  2. Step 2: Convert to fraction form
    1,651.89/2,477.53 = 556.23/x
  3. Step 3: Cross multiply
    1,651.89x = 2,477.53 × 556.23
  4. Step 4: Simplify right side
    1,651.89x = 1,378,076.51
  5. Step 5: Solve for x
    x = 1,378,076.51/1,651.89
  6. Step 6: Final answer
    x = 834.24

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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.