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Finding the Fourth Proportional to 2,038.41, 2,808.41 and 1,532.03

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Solution

The fourth proportional to 2,038.41, 2,808.41 and 1,532.03 is: 2,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.41 : 2,808.41 = 1,532.03 : x
  2. Step 2: Convert to fraction form
    2,038.41/2,808.41 = 1,532.03/x
  3. Step 3: Cross multiply
    2,038.41x = 2,808.41 × 1,532.03
  4. Step 4: Simplify right side
    2,038.41x = 4,302,546.67
  5. Step 5: Solve for x
    x = 4,302,546.67/2,038.41
  6. Step 6: Final answer
    x = 2,110.74

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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.