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Finding the Fourth Proportional to 1,488.89, 2,054.74 and 825.71

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Solution

The fourth proportional to 1,488.89, 2,054.74 and 825.71 is: 1,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.89 : 2,054.74 = 825.71 : x
  2. Step 2: Convert to fraction form
    1,488.89/2,054.74 = 825.71/x
  3. Step 3: Cross multiply
    1,488.89x = 2,054.74 × 825.71
  4. Step 4: Simplify right side
    1,488.89x = 1,696,613.79
  5. Step 5: Solve for x
    x = 1,696,613.79/1,488.89
  6. Step 6: Final answer
    x = 1,139.51

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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.