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Finding the Fourth Proportional to 2,521.80, 3,780.12 and 1,288.44

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Solution

The fourth proportional to 2,521.80, 3,780.12 and 1,288.44 is: 1,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.80 : 3,780.12 = 1,288.44 : x
  2. Step 2: Convert to fraction form
    2,521.80/3,780.12 = 1,288.44/x
  3. Step 3: Cross multiply
    2,521.80x = 3,780.12 × 1,288.44
  4. Step 4: Simplify right side
    2,521.80x = 4,870,457.81
  5. Step 5: Solve for x
    x = 4,870,457.81/2,521.80
  6. Step 6: Final answer
    x = 1,931.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.