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Finding the Fourth Proportional to 2,456.79, 3,390.86 and 1,461.87

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Solution

The fourth proportional to 2,456.79, 3,390.86 and 1,461.87 is: 2,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.79 : 3,390.86 = 1,461.87 : x
  2. Step 2: Convert to fraction form
    2,456.79/3,390.86 = 1,461.87/x
  3. Step 3: Cross multiply
    2,456.79x = 3,390.86 × 1,461.87
  4. Step 4: Simplify right side
    2,456.79x = 4,956,989.20
  5. Step 5: Solve for x
    x = 4,956,989.20/2,456.79
  6. Step 6: Final answer
    x = 2,017.67

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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.