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Finding the Fourth Proportional to 2,407.84, 3,612.38 and 676.47

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Solution

The fourth proportional to 2,407.84, 3,612.38 and 676.47 is: 1,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.84 : 3,612.38 = 676.47 : x
  2. Step 2: Convert to fraction form
    2,407.84/3,612.38 = 676.47/x
  3. Step 3: Cross multiply
    2,407.84x = 3,612.38 × 676.47
  4. Step 4: Simplify right side
    2,407.84x = 2,443,666.70
  5. Step 5: Solve for x
    x = 2,443,666.70/2,407.84
  6. Step 6: Final answer
    x = 1,014.88

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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.