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Finding the Fourth Proportional to 1,488.28, 2,051.42 and 1,133.02

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Solution

The fourth proportional to 1,488.28, 2,051.42 and 1,133.02 is: 1,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.28 : 2,051.42 = 1,133.02 : x
  2. Step 2: Convert to fraction form
    1,488.28/2,051.42 = 1,133.02/x
  3. Step 3: Cross multiply
    1,488.28x = 2,051.42 × 1,133.02
  4. Step 4: Simplify right side
    1,488.28x = 2,324,299.89
  5. Step 5: Solve for x
    x = 2,324,299.89/1,488.28
  6. Step 6: Final answer
    x = 1,561.74

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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.