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Finding the Fourth Proportional to 2,597.44, 3,586.08 and 1,653.76

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Solution

The fourth proportional to 2,597.44, 3,586.08 and 1,653.76 is: 2,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.44 : 3,586.08 = 1,653.76 : x
  2. Step 2: Convert to fraction form
    2,597.44/3,586.08 = 1,653.76/x
  3. Step 3: Cross multiply
    2,597.44x = 3,586.08 × 1,653.76
  4. Step 4: Simplify right side
    2,597.44x = 5,930,515.66
  5. Step 5: Solve for x
    x = 5,930,515.66/2,597.44
  6. Step 6: Final answer
    x = 2,283.22

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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.