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Finding the Fourth Proportional to 1,415.98, 1,954.15 and 856.47

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Solution

The fourth proportional to 1,415.98, 1,954.15 and 856.47 is: 1,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.98 : 1,954.15 = 856.47 : x
  2. Step 2: Convert to fraction form
    1,415.98/1,954.15 = 856.47/x
  3. Step 3: Cross multiply
    1,415.98x = 1,954.15 × 856.47
  4. Step 4: Simplify right side
    1,415.98x = 1,673,676.04
  5. Step 5: Solve for x
    x = 1,673,676.04/1,415.98
  6. Step 6: Final answer
    x = 1,181.99

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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.