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Finding the Fourth Proportional to 1,830.72, 2,742.63 and 905.21

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Solution

The fourth proportional to 1,830.72, 2,742.63 and 905.21 is: 1,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.72 : 2,742.63 = 905.21 : x
  2. Step 2: Convert to fraction form
    1,830.72/2,742.63 = 905.21/x
  3. Step 3: Cross multiply
    1,830.72x = 2,742.63 × 905.21
  4. Step 4: Simplify right side
    1,830.72x = 2,482,642.39
  5. Step 5: Solve for x
    x = 2,482,642.39/1,830.72
  6. Step 6: Final answer
    x = 1,356.10

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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.