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Finding the Fourth Proportional to 1,804.76, 2,488.36 and 1,524.52

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Solution

The fourth proportional to 1,804.76, 2,488.36 and 1,524.52 is: 2,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.76 : 2,488.36 = 1,524.52 : x
  2. Step 2: Convert to fraction form
    1,804.76/2,488.36 = 1,524.52/x
  3. Step 3: Cross multiply
    1,804.76x = 2,488.36 × 1,524.52
  4. Step 4: Simplify right side
    1,804.76x = 3,793,554.59
  5. Step 5: Solve for x
    x = 3,793,554.59/1,804.76
  6. Step 6: Final answer
    x = 2,101.97

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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.