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Finding the Fourth Proportional to 1,599.95, 2,384.50 and 1,597.52

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Solution

The fourth proportional to 1,599.95, 2,384.50 and 1,597.52 is: 2,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.95 : 2,384.50 = 1,597.52 : x
  2. Step 2: Convert to fraction form
    1,599.95/2,384.50 = 1,597.52/x
  3. Step 3: Cross multiply
    1,599.95x = 2,384.50 × 1,597.52
  4. Step 4: Simplify right side
    1,599.95x = 3,809,276.51
  5. Step 5: Solve for x
    x = 3,809,276.51/1,599.95
  6. Step 6: Final answer
    x = 2,380.88

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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.