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Finding the Fourth Proportional to 2,275.96, 3,412.54 and 1,043.75

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Solution

The fourth proportional to 2,275.96, 3,412.54 and 1,043.75 is: 1,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.96 : 3,412.54 = 1,043.75 : x
  2. Step 2: Convert to fraction form
    2,275.96/3,412.54 = 1,043.75/x
  3. Step 3: Cross multiply
    2,275.96x = 3,412.54 × 1,043.75
  4. Step 4: Simplify right side
    2,275.96x = 3,561,838.63
  5. Step 5: Solve for x
    x = 3,561,838.63/2,275.96
  6. Step 6: Final answer
    x = 1,564.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.