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Finding the Fourth Proportional to 1,581.36, 2,361.10 and 1,482.95

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Solution

The fourth proportional to 1,581.36, 2,361.10 and 1,482.95 is: 2,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.36 : 2,361.10 = 1,482.95 : x
  2. Step 2: Convert to fraction form
    1,581.36/2,361.10 = 1,482.95/x
  3. Step 3: Cross multiply
    1,581.36x = 2,361.10 × 1,482.95
  4. Step 4: Simplify right side
    1,581.36x = 3,501,374.02
  5. Step 5: Solve for x
    x = 3,501,374.02/1,581.36
  6. Step 6: Final answer
    x = 2,214.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.