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Finding the Fourth Proportional to 2,263.82, 3,123.50 and 1,424.93

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Solution

The fourth proportional to 2,263.82, 3,123.50 and 1,424.93 is: 1,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.82 : 3,123.50 = 1,424.93 : x
  2. Step 2: Convert to fraction form
    2,263.82/3,123.50 = 1,424.93/x
  3. Step 3: Cross multiply
    2,263.82x = 3,123.50 × 1,424.93
  4. Step 4: Simplify right side
    2,263.82x = 4,450,746.11
  5. Step 5: Solve for x
    x = 4,450,746.11/2,263.82
  6. Step 6: Final answer
    x = 1,966.04

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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.