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Finding the Fourth Proportional to 2,607.96, 3,597.48 and 2,010

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Solution

The fourth proportional to 2,607.96, 3,597.48 and 2,010 is: 2,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.96 : 3,597.48 = 2,010 : x
  2. Step 2: Convert to fraction form
    2,607.96/3,597.48 = 2,010/x
  3. Step 3: Cross multiply
    2,607.96x = 3,597.48 × 2,010
  4. Step 4: Simplify right side
    2,607.96x = 7,230,934.80
  5. Step 5: Solve for x
    x = 7,230,934.80/2,607.96
  6. Step 6: Final answer
    x = 2,772.64

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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.