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Finding the Fourth Proportional to 1,354.69, 2,021.55 and 1,208.89

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Solution

The fourth proportional to 1,354.69, 2,021.55 and 1,208.89 is: 1,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.69 : 2,021.55 = 1,208.89 : x
  2. Step 2: Convert to fraction form
    1,354.69/2,021.55 = 1,208.89/x
  3. Step 3: Cross multiply
    1,354.69x = 2,021.55 × 1,208.89
  4. Step 4: Simplify right side
    1,354.69x = 2,443,826.53
  5. Step 5: Solve for x
    x = 2,443,826.53/1,354.69
  6. Step 6: Final answer
    x = 1,803.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.