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Finding the Fourth Proportional to 1,435.57, 1,981.19 and 846.56

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Solution

The fourth proportional to 1,435.57, 1,981.19 and 846.56 is: 1,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.57 : 1,981.19 = 846.56 : x
  2. Step 2: Convert to fraction form
    1,435.57/1,981.19 = 846.56/x
  3. Step 3: Cross multiply
    1,435.57x = 1,981.19 × 846.56
  4. Step 4: Simplify right side
    1,435.57x = 1,677,196.21
  5. Step 5: Solve for x
    x = 1,677,196.21/1,435.57
  6. Step 6: Final answer
    x = 1,168.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.