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Finding the Fourth Proportional to 4,898.24, 7,347.30 and 1,200.45

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Solution

The fourth proportional to 4,898.24, 7,347.30 and 1,200.45 is: 1,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.24 : 7,347.30 = 1,200.45 : x
  2. Step 2: Convert to fraction form
    4,898.24/7,347.30 = 1,200.45/x
  3. Step 3: Cross multiply
    4,898.24x = 7,347.30 × 1,200.45
  4. Step 4: Simplify right side
    4,898.24x = 8,820,066.29
  5. Step 5: Solve for x
    x = 8,820,066.29/4,898.24
  6. Step 6: Final answer
    x = 1,800.66

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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.