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Finding the Fourth Proportional to 2,681.01, 3,699.81 and 1,562.64

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Solution

The fourth proportional to 2,681.01, 3,699.81 and 1,562.64 is: 2,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.01 : 3,699.81 = 1,562.64 : x
  2. Step 2: Convert to fraction form
    2,681.01/3,699.81 = 1,562.64/x
  3. Step 3: Cross multiply
    2,681.01x = 3,699.81 × 1,562.64
  4. Step 4: Simplify right side
    2,681.01x = 5,781,471.10
  5. Step 5: Solve for x
    x = 5,781,471.10/2,681.01
  6. Step 6: Final answer
    x = 2,156.45

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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.