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Finding the Fourth Proportional to 1,454.84, 2,186.52 and 971.28

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Solution

The fourth proportional to 1,454.84, 2,186.52 and 971.28 is: 1,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.84 : 2,186.52 = 971.28 : x
  2. Step 2: Convert to fraction form
    1,454.84/2,186.52 = 971.28/x
  3. Step 3: Cross multiply
    1,454.84x = 2,186.52 × 971.28
  4. Step 4: Simplify right side
    1,454.84x = 2,123,723.15
  5. Step 5: Solve for x
    x = 2,123,723.15/1,454.84
  6. Step 6: Final answer
    x = 1,459.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.