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Finding the Fourth Proportional to 1,489.55, 2,053.89 and 1,017.72

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Solution

The fourth proportional to 1,489.55, 2,053.89 and 1,017.72 is: 1,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.55 : 2,053.89 = 1,017.72 : x
  2. Step 2: Convert to fraction form
    1,489.55/2,053.89 = 1,017.72/x
  3. Step 3: Cross multiply
    1,489.55x = 2,053.89 × 1,017.72
  4. Step 4: Simplify right side
    1,489.55x = 2,090,284.93
  5. Step 5: Solve for x
    x = 2,090,284.93/1,489.55
  6. Step 6: Final answer
    x = 1,403.30

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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.