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Finding the Fourth Proportional to 1,458.84, 2,199.24 and 1,364.88

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Solution

The fourth proportional to 1,458.84, 2,199.24 and 1,364.88 is: 2,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.84 : 2,199.24 = 1,364.88 : x
  2. Step 2: Convert to fraction form
    1,458.84/2,199.24 = 1,364.88/x
  3. Step 3: Cross multiply
    1,458.84x = 2,199.24 × 1,364.88
  4. Step 4: Simplify right side
    1,458.84x = 3,001,698.69
  5. Step 5: Solve for x
    x = 3,001,698.69/1,458.84
  6. Step 6: Final answer
    x = 2,057.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.