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Finding the Fourth Proportional to 2,263.76, 3,123.60 and 1,424.96

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Solution

The fourth proportional to 2,263.76, 3,123.60 and 1,424.96 is: 1,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.76 : 3,123.60 = 1,424.96 : x
  2. Step 2: Convert to fraction form
    2,263.76/3,123.60 = 1,424.96/x
  3. Step 3: Cross multiply
    2,263.76x = 3,123.60 × 1,424.96
  4. Step 4: Simplify right side
    2,263.76x = 4,451,005.06
  5. Step 5: Solve for x
    x = 4,451,005.06/2,263.76
  6. Step 6: Final answer
    x = 1,966.20

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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.