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Finding the Fourth Proportional to 2,526.11, 3,486.02 and 1,407.09

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Solution

The fourth proportional to 2,526.11, 3,486.02 and 1,407.09 is: 1,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.11 : 3,486.02 = 1,407.09 : x
  2. Step 2: Convert to fraction form
    2,526.11/3,486.02 = 1,407.09/x
  3. Step 3: Cross multiply
    2,526.11x = 3,486.02 × 1,407.09
  4. Step 4: Simplify right side
    2,526.11x = 4,905,136.85
  5. Step 5: Solve for x
    x = 4,905,136.85/2,526.11
  6. Step 6: Final answer
    x = 1,941.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.