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Finding the Fourth Proportional to 1,970.35, 2,955.51 and 509.53

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Solution

The fourth proportional to 1,970.35, 2,955.51 and 509.53 is: 764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.35 : 2,955.51 = 509.53 : x
  2. Step 2: Convert to fraction form
    1,970.35/2,955.51 = 509.53/x
  3. Step 3: Cross multiply
    1,970.35x = 2,955.51 × 509.53
  4. Step 4: Simplify right side
    1,970.35x = 1,505,921.01
  5. Step 5: Solve for x
    x = 1,505,921.01/1,970.35
  6. Step 6: Final answer
    x = 764.29

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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.