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Finding the Fourth Proportional to 1,891.40, 2,609.94 and 1,752.08

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Solution

The fourth proportional to 1,891.40, 2,609.94 and 1,752.08 is: 2,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.40 : 2,609.94 = 1,752.08 : x
  2. Step 2: Convert to fraction form
    1,891.40/2,609.94 = 1,752.08/x
  3. Step 3: Cross multiply
    1,891.40x = 2,609.94 × 1,752.08
  4. Step 4: Simplify right side
    1,891.40x = 4,572,823.68
  5. Step 5: Solve for x
    x = 4,572,823.68/1,891.40
  6. Step 6: Final answer
    x = 2,417.69

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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.