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Finding the Fourth Proportional to 1,459.73, 2,189.57 and 364.11

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Solution

The fourth proportional to 1,459.73, 2,189.57 and 364.11 is: 546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.73 : 2,189.57 = 364.11 : x
  2. Step 2: Convert to fraction form
    1,459.73/2,189.57 = 364.11/x
  3. Step 3: Cross multiply
    1,459.73x = 2,189.57 × 364.11
  4. Step 4: Simplify right side
    1,459.73x = 797,242.51
  5. Step 5: Solve for x
    x = 797,242.51/1,459.73
  6. Step 6: Final answer
    x = 546.16

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Why These Related Problems?

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