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Finding the Fourth Proportional to 1,673.99, 2,308.95 and 1,149.11

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Solution

The fourth proportional to 1,673.99, 2,308.95 and 1,149.11 is: 1,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.99 : 2,308.95 = 1,149.11 : x
  2. Step 2: Convert to fraction form
    1,673.99/2,308.95 = 1,149.11/x
  3. Step 3: Cross multiply
    1,673.99x = 2,308.95 × 1,149.11
  4. Step 4: Simplify right side
    1,673.99x = 2,653,237.53
  5. Step 5: Solve for x
    x = 2,653,237.53/1,673.99
  6. Step 6: Final answer
    x = 1,584.98

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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.