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Finding the Fourth Proportional to 1,419.89, 2,128.41 and 956.57

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Solution

The fourth proportional to 1,419.89, 2,128.41 and 956.57 is: 1,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.89 : 2,128.41 = 956.57 : x
  2. Step 2: Convert to fraction form
    1,419.89/2,128.41 = 956.57/x
  3. Step 3: Cross multiply
    1,419.89x = 2,128.41 × 956.57
  4. Step 4: Simplify right side
    1,419.89x = 2,035,962.51
  5. Step 5: Solve for x
    x = 2,035,962.51/1,419.89
  6. Step 6: Final answer
    x = 1,433.89

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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.