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Finding the Fourth Proportional to 1,535.38, 2,303.90 and 669.64

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Solution

The fourth proportional to 1,535.38, 2,303.90 and 669.64 is: 1,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.38 : 2,303.90 = 669.64 : x
  2. Step 2: Convert to fraction form
    1,535.38/2,303.90 = 669.64/x
  3. Step 3: Cross multiply
    1,535.38x = 2,303.90 × 669.64
  4. Step 4: Simplify right side
    1,535.38x = 1,542,780.25
  5. Step 5: Solve for x
    x = 1,542,780.25/1,535.38
  6. Step 6: Final answer
    x = 1,004.82

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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.