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Finding the Fourth Proportional to 2,415.68, 3,615.52 and 2,077.76

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Solution

The fourth proportional to 2,415.68, 3,615.52 and 2,077.76 is: 3,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.68 : 3,615.52 = 2,077.76 : x
  2. Step 2: Convert to fraction form
    2,415.68/3,615.52 = 2,077.76/x
  3. Step 3: Cross multiply
    2,415.68x = 3,615.52 × 2,077.76
  4. Step 4: Simplify right side
    2,415.68x = 7,512,182.84
  5. Step 5: Solve for x
    x = 7,512,182.84/2,415.68
  6. Step 6: Final answer
    x = 3,109.76

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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.