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Finding the Fourth Proportional to 1,865.45, 2,798.18 and 1,742.43

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Solution

The fourth proportional to 1,865.45, 2,798.18 and 1,742.43 is: 2,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.45 : 2,798.18 = 1,742.43 : x
  2. Step 2: Convert to fraction form
    1,865.45/2,798.18 = 1,742.43/x
  3. Step 3: Cross multiply
    1,865.45x = 2,798.18 × 1,742.43
  4. Step 4: Simplify right side
    1,865.45x = 4,875,624.07
  5. Step 5: Solve for x
    x = 4,875,624.07/1,865.45
  6. Step 6: Final answer
    x = 2,613.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.