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Finding the Fourth Proportional to 2,898.32, 4,343.64 and 1,165.20

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Solution

The fourth proportional to 2,898.32, 4,343.64 and 1,165.20 is: 1,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.32 : 4,343.64 = 1,165.20 : x
  2. Step 2: Convert to fraction form
    2,898.32/4,343.64 = 1,165.20/x
  3. Step 3: Cross multiply
    2,898.32x = 4,343.64 × 1,165.20
  4. Step 4: Simplify right side
    2,898.32x = 5,061,209.33
  5. Step 5: Solve for x
    x = 5,061,209.33/2,898.32
  6. Step 6: Final answer
    x = 1,746.26

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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.