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Finding the Fourth Proportional to 1,421.98, 1,962.43 and 862.47

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Solution

The fourth proportional to 1,421.98, 1,962.43 and 862.47 is: 1,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.98 : 1,962.43 = 862.47 : x
  2. Step 2: Convert to fraction form
    1,421.98/1,962.43 = 862.47/x
  3. Step 3: Cross multiply
    1,421.98x = 1,962.43 × 862.47
  4. Step 4: Simplify right side
    1,421.98x = 1,692,534.85
  5. Step 5: Solve for x
    x = 1,692,534.85/1,421.98
  6. Step 6: Final answer
    x = 1,190.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.