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Finding the Fourth Proportional to 2,598.16, 3,900.30 and 2,050.72

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Solution

The fourth proportional to 2,598.16, 3,900.30 and 2,050.72 is: 3,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.16 : 3,900.30 = 2,050.72 : x
  2. Step 2: Convert to fraction form
    2,598.16/3,900.30 = 2,050.72/x
  3. Step 3: Cross multiply
    2,598.16x = 3,900.30 × 2,050.72
  4. Step 4: Simplify right side
    2,598.16x = 7,998,423.22
  5. Step 5: Solve for x
    x = 7,998,423.22/2,598.16
  6. Step 6: Final answer
    x = 3,078.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.