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Finding the Fourth Proportional to 1,459.54, 2,014.16 and 935.57

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Solution

The fourth proportional to 1,459.54, 2,014.16 and 935.57 is: 1,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.54 : 2,014.16 = 935.57 : x
  2. Step 2: Convert to fraction form
    1,459.54/2,014.16 = 935.57/x
  3. Step 3: Cross multiply
    1,459.54x = 2,014.16 × 935.57
  4. Step 4: Simplify right side
    1,459.54x = 1,884,393.02
  5. Step 5: Solve for x
    x = 1,884,393.02/1,459.54
  6. Step 6: Final answer
    x = 1,291.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.