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Finding the Fourth Proportional to 1,419.56, 2,128.89 and 432.06

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Solution

The fourth proportional to 1,419.56, 2,128.89 and 432.06 is: 647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.56 : 2,128.89 = 432.06 : x
  2. Step 2: Convert to fraction form
    1,419.56/2,128.89 = 432.06/x
  3. Step 3: Cross multiply
    1,419.56x = 2,128.89 × 432.06
  4. Step 4: Simplify right side
    1,419.56x = 919,808.21
  5. Step 5: Solve for x
    x = 919,808.21/1,419.56
  6. Step 6: Final answer
    x = 647.96

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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.