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Finding the Fourth Proportional to 2,360.89, 3,538.53 and 898.63

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Solution

The fourth proportional to 2,360.89, 3,538.53 and 898.63 is: 1,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.89 : 3,538.53 = 898.63 : x
  2. Step 2: Convert to fraction form
    2,360.89/3,538.53 = 898.63/x
  3. Step 3: Cross multiply
    2,360.89x = 3,538.53 × 898.63
  4. Step 4: Simplify right side
    2,360.89x = 3,179,829.21
  5. Step 5: Solve for x
    x = 3,179,829.21/2,360.89
  6. Step 6: Final answer
    x = 1,346.88

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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.