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Finding the Fourth Proportional to 1,970.47, 2,955.71 and 800.25

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Solution

The fourth proportional to 1,970.47, 2,955.71 and 800.25 is: 1,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.47 : 2,955.71 = 800.25 : x
  2. Step 2: Convert to fraction form
    1,970.47/2,955.71 = 800.25/x
  3. Step 3: Cross multiply
    1,970.47x = 2,955.71 × 800.25
  4. Step 4: Simplify right side
    1,970.47x = 2,365,318.28
  5. Step 5: Solve for x
    x = 2,365,318.28/1,970.47
  6. Step 6: Final answer
    x = 1,200.38

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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.