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Finding the Fourth Proportional to 2,359.42, 3,539.25 and 898.69

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Solution

The fourth proportional to 2,359.42, 3,539.25 and 898.69 is: 1,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.42 : 3,539.25 = 898.69 : x
  2. Step 2: Convert to fraction form
    2,359.42/3,539.25 = 898.69/x
  3. Step 3: Cross multiply
    2,359.42x = 3,539.25 × 898.69
  4. Step 4: Simplify right side
    2,359.42x = 3,180,688.58
  5. Step 5: Solve for x
    x = 3,180,688.58/2,359.42
  6. Step 6: Final answer
    x = 1,348.08

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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.