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Finding the Fourth Proportional to 1,419.83, 2,130.06 and 445.94

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Solution

The fourth proportional to 1,419.83, 2,130.06 and 445.94 is: 669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.83 : 2,130.06 = 445.94 : x
  2. Step 2: Convert to fraction form
    1,419.83/2,130.06 = 445.94/x
  3. Step 3: Cross multiply
    1,419.83x = 2,130.06 × 445.94
  4. Step 4: Simplify right side
    1,419.83x = 949,877.97
  5. Step 5: Solve for x
    x = 949,877.97/1,419.83
  6. Step 6: Final answer
    x = 669.01

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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.