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Finding the Fourth Proportional to 2,407.38, 3,605.49 and 1,756.50

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Solution

The fourth proportional to 2,407.38, 3,605.49 and 1,756.50 is: 2,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.38 : 3,605.49 = 1,756.50 : x
  2. Step 2: Convert to fraction form
    2,407.38/3,605.49 = 1,756.50/x
  3. Step 3: Cross multiply
    2,407.38x = 3,605.49 × 1,756.50
  4. Step 4: Simplify right side
    2,407.38x = 6,333,043.19
  5. Step 5: Solve for x
    x = 6,333,043.19/2,407.38
  6. Step 6: Final answer
    x = 2,630.68

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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.