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Finding the Fourth Proportional to 2,923.92, 4,038.43 and 2,328.40

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Solution

The fourth proportional to 2,923.92, 4,038.43 and 2,328.40 is: 3,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.92 : 4,038.43 = 2,328.40 : x
  2. Step 2: Convert to fraction form
    2,923.92/4,038.43 = 2,328.40/x
  3. Step 3: Cross multiply
    2,923.92x = 4,038.43 × 2,328.40
  4. Step 4: Simplify right side
    2,923.92x = 9,403,080.41
  5. Step 5: Solve for x
    x = 9,403,080.41/2,923.92
  6. Step 6: Final answer
    x = 3,215.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.