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Finding the Fourth Proportional to 1,459.18, 2,014.01 and 961.89

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Solution

The fourth proportional to 1,459.18, 2,014.01 and 961.89 is: 1,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.18 : 2,014.01 = 961.89 : x
  2. Step 2: Convert to fraction form
    1,459.18/2,014.01 = 961.89/x
  3. Step 3: Cross multiply
    1,459.18x = 2,014.01 × 961.89
  4. Step 4: Simplify right side
    1,459.18x = 1,937,256.08
  5. Step 5: Solve for x
    x = 1,937,256.08/1,459.18
  6. Step 6: Final answer
    x = 1,327.63

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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.