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Finding the Fourth Proportional to 2,598.96, 3,898.35 and 651.15

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Solution

The fourth proportional to 2,598.96, 3,898.35 and 651.15 is: 976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.96 : 3,898.35 = 651.15 : x
  2. Step 2: Convert to fraction form
    2,598.96/3,898.35 = 651.15/x
  3. Step 3: Cross multiply
    2,598.96x = 3,898.35 × 651.15
  4. Step 4: Simplify right side
    2,598.96x = 2,538,410.60
  5. Step 5: Solve for x
    x = 2,538,410.60/2,598.96
  6. Step 6: Final answer
    x = 976.70

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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.