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Finding the Fourth Proportional to 2,303.76, 3,178.80 and 1,519.68

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Solution

The fourth proportional to 2,303.76, 3,178.80 and 1,519.68 is: 2,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.76 : 3,178.80 = 1,519.68 : x
  2. Step 2: Convert to fraction form
    2,303.76/3,178.80 = 1,519.68/x
  3. Step 3: Cross multiply
    2,303.76x = 3,178.80 × 1,519.68
  4. Step 4: Simplify right side
    2,303.76x = 4,830,758.78
  5. Step 5: Solve for x
    x = 4,830,758.78/2,303.76
  6. Step 6: Final answer
    x = 2,096.90

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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.