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Finding the Fourth Proportional to 1,972.80, 2,962.40 and 1,428.80

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Solution

The fourth proportional to 1,972.80, 2,962.40 and 1,428.80 is: 2,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.80 : 2,962.40 = 1,428.80 : x
  2. Step 2: Convert to fraction form
    1,972.80/2,962.40 = 1,428.80/x
  3. Step 3: Cross multiply
    1,972.80x = 2,962.40 × 1,428.80
  4. Step 4: Simplify right side
    1,972.80x = 4,232,677.12
  5. Step 5: Solve for x
    x = 4,232,677.12/1,972.80
  6. Step 6: Final answer
    x = 2,145.52

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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.