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Finding the Fourth Proportional to 2,599.90, 3,897.51 and 955.33

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Solution

The fourth proportional to 2,599.90, 3,897.51 and 955.33 is: 1,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.90 : 3,897.51 = 955.33 : x
  2. Step 2: Convert to fraction form
    2,599.90/3,897.51 = 955.33/x
  3. Step 3: Cross multiply
    2,599.90x = 3,897.51 × 955.33
  4. Step 4: Simplify right side
    2,599.90x = 3,723,408.23
  5. Step 5: Solve for x
    x = 3,723,408.23/2,599.90
  6. Step 6: Final answer
    x = 1,432.14

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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.