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Finding the Fourth Proportional to 2,588.71, 3,885.04 and 1,897.15

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Solution

The fourth proportional to 2,588.71, 3,885.04 and 1,897.15 is: 2,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.71 : 3,885.04 = 1,897.15 : x
  2. Step 2: Convert to fraction form
    2,588.71/3,885.04 = 1,897.15/x
  3. Step 3: Cross multiply
    2,588.71x = 3,885.04 × 1,897.15
  4. Step 4: Simplify right side
    2,588.71x = 7,370,487.32
  5. Step 5: Solve for x
    x = 7,370,487.32/2,588.71
  6. Step 6: Final answer
    x = 2,847.17

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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.