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Finding the Fourth Proportional to 1,970.24, 2,955.48 and 509.44

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Solution

The fourth proportional to 1,970.24, 2,955.48 and 509.44 is: 764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.24 : 2,955.48 = 509.44 : x
  2. Step 2: Convert to fraction form
    1,970.24/2,955.48 = 509.44/x
  3. Step 3: Cross multiply
    1,970.24x = 2,955.48 × 509.44
  4. Step 4: Simplify right side
    1,970.24x = 1,505,639.73
  5. Step 5: Solve for x
    x = 1,505,639.73/1,970.24
  6. Step 6: Final answer
    x = 764.19

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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.