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Finding the Fourth Proportional to 1,800.07, 2,484.53 and 1,202.59

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Solution

The fourth proportional to 1,800.07, 2,484.53 and 1,202.59 is: 1,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.07 : 2,484.53 = 1,202.59 : x
  2. Step 2: Convert to fraction form
    1,800.07/2,484.53 = 1,202.59/x
  3. Step 3: Cross multiply
    1,800.07x = 2,484.53 × 1,202.59
  4. Step 4: Simplify right side
    1,800.07x = 2,987,864.49
  5. Step 5: Solve for x
    x = 2,987,864.49/1,800.07
  6. Step 6: Final answer
    x = 1,659.86

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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.