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Finding the Fourth Proportional to 2,354.43, 3,530.25 and 893.68

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Solution

The fourth proportional to 2,354.43, 3,530.25 and 893.68 is: 1,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.43 : 3,530.25 = 893.68 : x
  2. Step 2: Convert to fraction form
    2,354.43/3,530.25 = 893.68/x
  3. Step 3: Cross multiply
    2,354.43x = 3,530.25 × 893.68
  4. Step 4: Simplify right side
    2,354.43x = 3,154,913.82
  5. Step 5: Solve for x
    x = 3,154,913.82/2,354.43
  6. Step 6: Final answer
    x = 1,339.99

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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.