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Finding the Fourth Proportional to 2,268.84, 3,130.80 and 1,429.56

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Solution

The fourth proportional to 2,268.84, 3,130.80 and 1,429.56 is: 1,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.84 : 3,130.80 = 1,429.56 : x
  2. Step 2: Convert to fraction form
    2,268.84/3,130.80 = 1,429.56/x
  3. Step 3: Cross multiply
    2,268.84x = 3,130.80 × 1,429.56
  4. Step 4: Simplify right side
    2,268.84x = 4,475,666.45
  5. Step 5: Solve for x
    x = 4,475,666.45/2,268.84
  6. Step 6: Final answer
    x = 1,972.67

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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.