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Finding the Fourth Proportional to 2,300.86, 3,451.86 and 1,002.40

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Solution

The fourth proportional to 2,300.86, 3,451.86 and 1,002.40 is: 1,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.86 : 3,451.86 = 1,002.40 : x
  2. Step 2: Convert to fraction form
    2,300.86/3,451.86 = 1,002.40/x
  3. Step 3: Cross multiply
    2,300.86x = 3,451.86 × 1,002.40
  4. Step 4: Simplify right side
    2,300.86x = 3,460,144.46
  5. Step 5: Solve for x
    x = 3,460,144.46/2,300.86
  6. Step 6: Final answer
    x = 1,503.85

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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.