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Finding the Fourth Proportional to 1,613.15, 2,232.18 and 1,376.72

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Solution

The fourth proportional to 1,613.15, 2,232.18 and 1,376.72 is: 1,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.15 : 2,232.18 = 1,376.72 : x
  2. Step 2: Convert to fraction form
    1,613.15/2,232.18 = 1,376.72/x
  3. Step 3: Cross multiply
    1,613.15x = 2,232.18 × 1,376.72
  4. Step 4: Simplify right side
    1,613.15x = 3,073,075.69
  5. Step 5: Solve for x
    x = 3,073,075.69/1,613.15
  6. Step 6: Final answer
    x = 1,905.02

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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.