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Finding the Fourth Proportional to 2,428.79, 3,350.16 and 1,434.00

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Solution

The fourth proportional to 2,428.79, 3,350.16 and 1,434.00 is: 1,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.79 : 3,350.16 = 1,434.00 : x
  2. Step 2: Convert to fraction form
    2,428.79/3,350.16 = 1,434.00/x
  3. Step 3: Cross multiply
    2,428.79x = 3,350.16 × 1,434.00
  4. Step 4: Simplify right side
    2,428.79x = 4,804,142.00
  5. Step 5: Solve for x
    x = 4,804,142.00/2,428.79
  6. Step 6: Final answer
    x = 1,978.00

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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.