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Finding the Fourth Proportional to 1,259.28, 1,886.04 and 968.40

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Solution

The fourth proportional to 1,259.28, 1,886.04 and 968.40 is: 1,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.28 : 1,886.04 = 968.40 : x
  2. Step 2: Convert to fraction form
    1,259.28/1,886.04 = 968.40/x
  3. Step 3: Cross multiply
    1,259.28x = 1,886.04 × 968.40
  4. Step 4: Simplify right side
    1,259.28x = 1,826,441.14
  5. Step 5: Solve for x
    x = 1,826,441.14/1,259.28
  6. Step 6: Final answer
    x = 1,450.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.