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Finding the Fourth Proportional to 2,392.94, 3,300.65 and 1,448.08

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Solution

The fourth proportional to 2,392.94, 3,300.65 and 1,448.08 is: 1,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.94 : 3,300.65 = 1,448.08 : x
  2. Step 2: Convert to fraction form
    2,392.94/3,300.65 = 1,448.08/x
  3. Step 3: Cross multiply
    2,392.94x = 3,300.65 × 1,448.08
  4. Step 4: Simplify right side
    2,392.94x = 4,779,595.19
  5. Step 5: Solve for x
    x = 4,779,595.19/2,392.94
  6. Step 6: Final answer
    x = 1,997.37

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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.