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Finding the Fourth Proportional to 1,950.64, 2,923.26 and 1,024.36

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Solution

The fourth proportional to 1,950.64, 2,923.26 and 1,024.36 is: 1,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.64 : 2,923.26 = 1,024.36 : x
  2. Step 2: Convert to fraction form
    1,950.64/2,923.26 = 1,024.36/x
  3. Step 3: Cross multiply
    1,950.64x = 2,923.26 × 1,024.36
  4. Step 4: Simplify right side
    1,950.64x = 2,994,470.61
  5. Step 5: Solve for x
    x = 2,994,470.61/1,950.64
  6. Step 6: Final answer
    x = 1,535.12

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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.