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Finding the Fourth Proportional to 2,407.89, 3,612.53 and 1,002.06

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Solution

The fourth proportional to 2,407.89, 3,612.53 and 1,002.06 is: 1,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.89 : 3,612.53 = 1,002.06 : x
  2. Step 2: Convert to fraction form
    2,407.89/3,612.53 = 1,002.06/x
  3. Step 3: Cross multiply
    2,407.89x = 3,612.53 × 1,002.06
  4. Step 4: Simplify right side
    2,407.89x = 3,619,974.32
  5. Step 5: Solve for x
    x = 3,619,974.32/2,407.89
  6. Step 6: Final answer
    x = 1,503.38

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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.