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Finding the Fourth Proportional to 2,681.02, 4,018.20 and 2,407.24

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Solution

The fourth proportional to 2,681.02, 4,018.20 and 2,407.24 is: 3,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.02 : 4,018.20 = 2,407.24 : x
  2. Step 2: Convert to fraction form
    2,681.02/4,018.20 = 2,407.24/x
  3. Step 3: Cross multiply
    2,681.02x = 4,018.20 × 2,407.24
  4. Step 4: Simplify right side
    2,681.02x = 9,672,771.77
  5. Step 5: Solve for x
    x = 9,672,771.77/2,681.02
  6. Step 6: Final answer
    x = 3,607.87

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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.