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Finding the Fourth Proportional to 2,637.70, 3,954.59 and 1,597.46

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Solution

The fourth proportional to 2,637.70, 3,954.59 and 1,597.46 is: 2,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.70 : 3,954.59 = 1,597.46 : x
  2. Step 2: Convert to fraction form
    2,637.70/3,954.59 = 1,597.46/x
  3. Step 3: Cross multiply
    2,637.70x = 3,954.59 × 1,597.46
  4. Step 4: Simplify right side
    2,637.70x = 6,317,283.56
  5. Step 5: Solve for x
    x = 6,317,283.56/2,637.70
  6. Step 6: Final answer
    x = 2,395.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.