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Finding the Fourth Proportional to 1,573.24, 2,356.68 and 986.32

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Solution

The fourth proportional to 1,573.24, 2,356.68 and 986.32 is: 1,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.24 : 2,356.68 = 986.32 : x
  2. Step 2: Convert to fraction form
    1,573.24/2,356.68 = 986.32/x
  3. Step 3: Cross multiply
    1,573.24x = 2,356.68 × 986.32
  4. Step 4: Simplify right side
    1,573.24x = 2,324,440.62
  5. Step 5: Solve for x
    x = 2,324,440.62/1,573.24
  6. Step 6: Final answer
    x = 1,477.49

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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.