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Finding the Fourth Proportional to 2,141.80, 2,956.20 and 1,345.60

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Solution

The fourth proportional to 2,141.80, 2,956.20 and 1,345.60 is: 1,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.80 : 2,956.20 = 1,345.60 : x
  2. Step 2: Convert to fraction form
    2,141.80/2,956.20 = 1,345.60/x
  3. Step 3: Cross multiply
    2,141.80x = 2,956.20 × 1,345.60
  4. Step 4: Simplify right side
    2,141.80x = 3,977,862.72
  5. Step 5: Solve for x
    x = 3,977,862.72/2,141.80
  6. Step 6: Final answer
    x = 1,857.25

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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.