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Finding the Fourth Proportional to 2,597.67, 3,870.38 and 2,430

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Solution

The fourth proportional to 2,597.67, 3,870.38 and 2,430 is: 3,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.67 : 3,870.38 = 2,430 : x
  2. Step 2: Convert to fraction form
    2,597.67/3,870.38 = 2,430/x
  3. Step 3: Cross multiply
    2,597.67x = 3,870.38 × 2,430
  4. Step 4: Simplify right side
    2,597.67x = 9,405,029.48
  5. Step 5: Solve for x
    x = 9,405,029.48/2,597.67
  6. Step 6: Final answer
    x = 3,620.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.