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Finding the Fourth Proportional to 1,597.45, 2,384.53 and 1,526.44

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Solution

The fourth proportional to 1,597.45, 2,384.53 and 1,526.44 is: 2,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.45 : 2,384.53 = 1,526.44 : x
  2. Step 2: Convert to fraction form
    1,597.45/2,384.53 = 1,526.44/x
  3. Step 3: Cross multiply
    1,597.45x = 2,384.53 × 1,526.44
  4. Step 4: Simplify right side
    1,597.45x = 3,639,841.97
  5. Step 5: Solve for x
    x = 3,639,841.97/1,597.45
  6. Step 6: Final answer
    x = 2,278.53

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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.