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Finding the Fourth Proportional to 1,488.81, 2,054.75 and 1,135.23

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Solution

The fourth proportional to 1,488.81, 2,054.75 and 1,135.23 is: 1,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.81 : 2,054.75 = 1,135.23 : x
  2. Step 2: Convert to fraction form
    1,488.81/2,054.75 = 1,135.23/x
  3. Step 3: Cross multiply
    1,488.81x = 2,054.75 × 1,135.23
  4. Step 4: Simplify right side
    1,488.81x = 2,332,613.84
  5. Step 5: Solve for x
    x = 2,332,613.84/1,488.81
  6. Step 6: Final answer
    x = 1,566.76

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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.