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Finding the Fourth Proportional to 2,291.92, 3,420.32 and 2,045.88

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Solution

The fourth proportional to 2,291.92, 3,420.32 and 2,045.88 is: 3,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.92 : 3,420.32 = 2,045.88 : x
  2. Step 2: Convert to fraction form
    2,291.92/3,420.32 = 2,045.88/x
  3. Step 3: Cross multiply
    2,291.92x = 3,420.32 × 2,045.88
  4. Step 4: Simplify right side
    2,291.92x = 6,997,554.05
  5. Step 5: Solve for x
    x = 6,997,554.05/2,291.92
  6. Step 6: Final answer
    x = 3,053.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.