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Finding the Fourth Proportional to 1,426.53, 1,965.54 and 1,032.87

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Solution

The fourth proportional to 1,426.53, 1,965.54 and 1,032.87 is: 1,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.53 : 1,965.54 = 1,032.87 : x
  2. Step 2: Convert to fraction form
    1,426.53/1,965.54 = 1,032.87/x
  3. Step 3: Cross multiply
    1,426.53x = 1,965.54 × 1,032.87
  4. Step 4: Simplify right side
    1,426.53x = 2,030,147.30
  5. Step 5: Solve for x
    x = 2,030,147.30/1,426.53
  6. Step 6: Final answer
    x = 1,423.14

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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.