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Finding the Fourth Proportional to 1,485.74, 2,049.71 and 856.17

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Solution

The fourth proportional to 1,485.74, 2,049.71 and 856.17 is: 1,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.74 : 2,049.71 = 856.17 : x
  2. Step 2: Convert to fraction form
    1,485.74/2,049.71 = 856.17/x
  3. Step 3: Cross multiply
    1,485.74x = 2,049.71 × 856.17
  4. Step 4: Simplify right side
    1,485.74x = 1,754,895.93
  5. Step 5: Solve for x
    x = 1,754,895.93/1,485.74
  6. Step 6: Final answer
    x = 1,181.16

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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.