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Finding the Fourth Proportional to 2,356.05, 3,535.83 and 898.05

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Solution

The fourth proportional to 2,356.05, 3,535.83 and 898.05 is: 1,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.05 : 3,535.83 = 898.05 : x
  2. Step 2: Convert to fraction form
    2,356.05/3,535.83 = 898.05/x
  3. Step 3: Cross multiply
    2,356.05x = 3,535.83 × 898.05
  4. Step 4: Simplify right side
    2,356.05x = 3,175,352.13
  5. Step 5: Solve for x
    x = 3,175,352.13/2,356.05
  6. Step 6: Final answer
    x = 1,347.74

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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.