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Finding the Fourth Proportional to 1,909.08, 2,633.58 and 1,287

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Solution

The fourth proportional to 1,909.08, 2,633.58 and 1,287 is: 1,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.08 : 2,633.58 = 1,287 : x
  2. Step 2: Convert to fraction form
    1,909.08/2,633.58 = 1,287/x
  3. Step 3: Cross multiply
    1,909.08x = 2,633.58 × 1,287
  4. Step 4: Simplify right side
    1,909.08x = 3,389,417.46
  5. Step 5: Solve for x
    x = 3,389,417.46/1,909.08
  6. Step 6: Final answer
    x = 1,775.42

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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.