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Finding the Fourth Proportional to 1,949.01, 2,689.63 and 1,152.88

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Solution

The fourth proportional to 1,949.01, 2,689.63 and 1,152.88 is: 1,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.01 : 2,689.63 = 1,152.88 : x
  2. Step 2: Convert to fraction form
    1,949.01/2,689.63 = 1,152.88/x
  3. Step 3: Cross multiply
    1,949.01x = 2,689.63 × 1,152.88
  4. Step 4: Simplify right side
    1,949.01x = 3,100,829.40
  5. Step 5: Solve for x
    x = 3,100,829.40/1,949.01
  6. Step 6: Final answer
    x = 1,590.98

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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.