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Finding the Fourth Proportional to 1,419.14, 2,128.76 and 639.02

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Solution

The fourth proportional to 1,419.14, 2,128.76 and 639.02 is: 958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.14 : 2,128.76 = 639.02 : x
  2. Step 2: Convert to fraction form
    1,419.14/2,128.76 = 639.02/x
  3. Step 3: Cross multiply
    1,419.14x = 2,128.76 × 639.02
  4. Step 4: Simplify right side
    1,419.14x = 1,360,320.22
  5. Step 5: Solve for x
    x = 1,360,320.22/1,419.14
  6. Step 6: Final answer
    x = 958.55

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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.