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Finding the Fourth Proportional to 2,607.57, 3,903.49 and 1,681.28

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Solution

The fourth proportional to 2,607.57, 3,903.49 and 1,681.28 is: 2,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.57 : 3,903.49 = 1,681.28 : x
  2. Step 2: Convert to fraction form
    2,607.57/3,903.49 = 1,681.28/x
  3. Step 3: Cross multiply
    2,607.57x = 3,903.49 × 1,681.28
  4. Step 4: Simplify right side
    2,607.57x = 6,562,841.50
  5. Step 5: Solve for x
    x = 6,562,841.50/2,607.57
  6. Step 6: Final answer
    x = 2,516.85

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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.