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Finding the Fourth Proportional to 2,275.56, 3,142.26 and 1,437.75

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Solution

The fourth proportional to 2,275.56, 3,142.26 and 1,437.75 is: 1,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.56 : 3,142.26 = 1,437.75 : x
  2. Step 2: Convert to fraction form
    2,275.56/3,142.26 = 1,437.75/x
  3. Step 3: Cross multiply
    2,275.56x = 3,142.26 × 1,437.75
  4. Step 4: Simplify right side
    2,275.56x = 4,517,784.32
  5. Step 5: Solve for x
    x = 4,517,784.32/2,275.56
  6. Step 6: Final answer
    x = 1,985.35

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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.