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Finding the Fourth Proportional to 2,293.64, 3,165.23 and 1,298.90

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Solution

The fourth proportional to 2,293.64, 3,165.23 and 1,298.90 is: 1,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.64 : 3,165.23 = 1,298.90 : x
  2. Step 2: Convert to fraction form
    2,293.64/3,165.23 = 1,298.90/x
  3. Step 3: Cross multiply
    2,293.64x = 3,165.23 × 1,298.90
  4. Step 4: Simplify right side
    2,293.64x = 4,111,318.67
  5. Step 5: Solve for x
    x = 4,111,318.67/2,293.64
  6. Step 6: Final answer
    x = 1,792.48

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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.