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Finding the Fourth Proportional to 2,141.42, 2,954.76 and 1,355.72

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Solution

The fourth proportional to 2,141.42, 2,954.76 and 1,355.72 is: 1,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.42 : 2,954.76 = 1,355.72 : x
  2. Step 2: Convert to fraction form
    2,141.42/2,954.76 = 1,355.72/x
  3. Step 3: Cross multiply
    2,141.42x = 2,954.76 × 1,355.72
  4. Step 4: Simplify right side
    2,141.42x = 4,005,827.23
  5. Step 5: Solve for x
    x = 4,005,827.23/2,141.42
  6. Step 6: Final answer
    x = 1,870.64

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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.