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Finding the Fourth Proportional to 1,858.24, 2,565.24 and 1,271.80

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Solution

The fourth proportional to 1,858.24, 2,565.24 and 1,271.80 is: 1,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.24 : 2,565.24 = 1,271.80 : x
  2. Step 2: Convert to fraction form
    1,858.24/2,565.24 = 1,271.80/x
  3. Step 3: Cross multiply
    1,858.24x = 2,565.24 × 1,271.80
  4. Step 4: Simplify right side
    1,858.24x = 3,262,472.23
  5. Step 5: Solve for x
    x = 3,262,472.23/1,858.24
  6. Step 6: Final answer
    x = 1,755.68

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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.