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Finding the Fourth Proportional to 2,598.96, 3,897.40 and 1,230

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Solution

The fourth proportional to 2,598.96, 3,897.40 and 1,230 is: 1,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.96 : 3,897.40 = 1,230 : x
  2. Step 2: Convert to fraction form
    2,598.96/3,897.40 = 1,230/x
  3. Step 3: Cross multiply
    2,598.96x = 3,897.40 × 1,230
  4. Step 4: Simplify right side
    2,598.96x = 4,793,802
  5. Step 5: Solve for x
    x = 4,793,802/2,598.96
  6. Step 6: Final answer
    x = 1,844.51

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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.