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Finding the Fourth Proportional to 2,256.76, 3,113.94 and 1,417.96

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Solution

The fourth proportional to 2,256.76, 3,113.94 and 1,417.96 is: 1,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.76 : 3,113.94 = 1,417.96 : x
  2. Step 2: Convert to fraction form
    2,256.76/3,113.94 = 1,417.96/x
  3. Step 3: Cross multiply
    2,256.76x = 3,113.94 × 1,417.96
  4. Step 4: Simplify right side
    2,256.76x = 4,415,442.36
  5. Step 5: Solve for x
    x = 4,415,442.36/2,256.76
  6. Step 6: Final answer
    x = 1,956.54

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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.