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Finding the Fourth Proportional to 2,672.61, 3,688.01 and 1,610.16

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Solution

The fourth proportional to 2,672.61, 3,688.01 and 1,610.16 is: 2,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.61 : 3,688.01 = 1,610.16 : x
  2. Step 2: Convert to fraction form
    2,672.61/3,688.01 = 1,610.16/x
  3. Step 3: Cross multiply
    2,672.61x = 3,688.01 × 1,610.16
  4. Step 4: Simplify right side
    2,672.61x = 5,938,278.13
  5. Step 5: Solve for x
    x = 5,938,278.13/2,672.61
  6. Step 6: Final answer
    x = 2,221.90

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1.5x scale

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.