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Finding the Fourth Proportional to 2,479.01, 3,420.70 and 1,430.87

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Solution

The fourth proportional to 2,479.01, 3,420.70 and 1,430.87 is: 1,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.01 : 3,420.70 = 1,430.87 : x
  2. Step 2: Convert to fraction form
    2,479.01/3,420.70 = 1,430.87/x
  3. Step 3: Cross multiply
    2,479.01x = 3,420.70 × 1,430.87
  4. Step 4: Simplify right side
    2,479.01x = 4,894,556.33
  5. Step 5: Solve for x
    x = 4,894,556.33/2,479.01
  6. Step 6: Final answer
    x = 1,974.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.