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Finding the Fourth Proportional to 2,597.67, 3,584.45 and 1,478.45

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Solution

The fourth proportional to 2,597.67, 3,584.45 and 1,478.45 is: 2,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.67 : 3,584.45 = 1,478.45 : x
  2. Step 2: Convert to fraction form
    2,597.67/3,584.45 = 1,478.45/x
  3. Step 3: Cross multiply
    2,597.67x = 3,584.45 × 1,478.45
  4. Step 4: Simplify right side
    2,597.67x = 5,299,442.76
  5. Step 5: Solve for x
    x = 5,299,442.76/2,597.67
  6. Step 6: Final answer
    x = 2,040.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.