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Finding the Fourth Proportional to 1,970.26, 2,955.36 and 509.40

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Solution

The fourth proportional to 1,970.26, 2,955.36 and 509.40 is: 764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.26 : 2,955.36 = 509.40 : x
  2. Step 2: Convert to fraction form
    1,970.26/2,955.36 = 509.40/x
  3. Step 3: Cross multiply
    1,970.26x = 2,955.36 × 509.40
  4. Step 4: Simplify right side
    1,970.26x = 1,505,460.38
  5. Step 5: Solve for x
    x = 1,505,460.38/1,970.26
  6. Step 6: Final answer
    x = 764.09

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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.