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Finding the Fourth Proportional to 1,485.99, 2,050.74 and 856.62

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Solution

The fourth proportional to 1,485.99, 2,050.74 and 856.62 is: 1,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.99 : 2,050.74 = 856.62 : x
  2. Step 2: Convert to fraction form
    1,485.99/2,050.74 = 856.62/x
  3. Step 3: Cross multiply
    1,485.99x = 2,050.74 × 856.62
  4. Step 4: Simplify right side
    1,485.99x = 1,756,704.90
  5. Step 5: Solve for x
    x = 1,756,704.90/1,485.99
  6. Step 6: Final answer
    x = 1,182.18

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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.