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Finding the Fourth Proportional to 1,435.50, 1,981.04 and 846.54

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Solution

The fourth proportional to 1,435.50, 1,981.04 and 846.54 is: 1,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.50 : 1,981.04 = 846.54 : x
  2. Step 2: Convert to fraction form
    1,435.50/1,981.04 = 846.54/x
  3. Step 3: Cross multiply
    1,435.50x = 1,981.04 × 846.54
  4. Step 4: Simplify right side
    1,435.50x = 1,677,025.37
  5. Step 5: Solve for x
    x = 1,677,025.37/1,435.50
  6. Step 6: Final answer
    x = 1,168.25

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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.