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Finding the Fourth Proportional to 1,488.42, 2,051.19 and 1,451.97

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Solution

The fourth proportional to 1,488.42, 2,051.19 and 1,451.97 is: 2,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.42 : 2,051.19 = 1,451.97 : x
  2. Step 2: Convert to fraction form
    1,488.42/2,051.19 = 1,451.97/x
  3. Step 3: Cross multiply
    1,488.42x = 2,051.19 × 1,451.97
  4. Step 4: Simplify right side
    1,488.42x = 2,978,266.34
  5. Step 5: Solve for x
    x = 2,978,266.34/1,488.42
  6. Step 6: Final answer
    x = 2,000.96

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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.