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Finding the Fourth Proportional to 1,510.00, 2,083.74 and 846.84

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Solution

The fourth proportional to 1,510.00, 2,083.74 and 846.84 is: 1,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.00 : 2,083.74 = 846.84 : x
  2. Step 2: Convert to fraction form
    1,510.00/2,083.74 = 846.84/x
  3. Step 3: Cross multiply
    1,510.00x = 2,083.74 × 846.84
  4. Step 4: Simplify right side
    1,510.00x = 1,764,589.45
  5. Step 5: Solve for x
    x = 1,764,589.45/1,510.00
  6. Step 6: Final answer
    x = 1,168.60

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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.