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Finding the Fourth Proportional to 1,901.64, 2,853.74 and 669.04

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Solution

The fourth proportional to 1,901.64, 2,853.74 and 669.04 is: 1,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.64 : 2,853.74 = 669.04 : x
  2. Step 2: Convert to fraction form
    1,901.64/2,853.74 = 669.04/x
  3. Step 3: Cross multiply
    1,901.64x = 2,853.74 × 669.04
  4. Step 4: Simplify right side
    1,901.64x = 1,909,266.21
  5. Step 5: Solve for x
    x = 1,909,266.21/1,901.64
  6. Step 6: Final answer
    x = 1,004.01

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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.