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Finding the Fourth Proportional to 2,407.45, 3,610.45 and 1,020.76

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Solution

The fourth proportional to 2,407.45, 3,610.45 and 1,020.76 is: 1,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.45 : 3,610.45 = 1,020.76 : x
  2. Step 2: Convert to fraction form
    2,407.45/3,610.45 = 1,020.76/x
  3. Step 3: Cross multiply
    2,407.45x = 3,610.45 × 1,020.76
  4. Step 4: Simplify right side
    2,407.45x = 3,685,405.49
  5. Step 5: Solve for x
    x = 3,685,405.49/2,407.45
  6. Step 6: Final answer
    x = 1,530.84

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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.