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Finding the Fourth Proportional to 1,898.97, 2,620.30 and 1,152.80

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Solution

The fourth proportional to 1,898.97, 2,620.30 and 1,152.80 is: 1,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.97 : 2,620.30 = 1,152.80 : x
  2. Step 2: Convert to fraction form
    1,898.97/2,620.30 = 1,152.80/x
  3. Step 3: Cross multiply
    1,898.97x = 2,620.30 × 1,152.80
  4. Step 4: Simplify right side
    1,898.97x = 3,020,676.08
  5. Step 5: Solve for x
    x = 3,020,676.08/1,898.97
  6. Step 6: Final answer
    x = 1,590.69

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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.