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Finding the Fourth Proportional to 1,598.49, 2,394.72 and 1,426.95

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Solution

The fourth proportional to 1,598.49, 2,394.72 and 1,426.95 is: 2,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.49 : 2,394.72 = 1,426.95 : x
  2. Step 2: Convert to fraction form
    1,598.49/2,394.72 = 1,426.95/x
  3. Step 3: Cross multiply
    1,598.49x = 2,394.72 × 1,426.95
  4. Step 4: Simplify right side
    1,598.49x = 3,417,145.70
  5. Step 5: Solve for x
    x = 3,417,145.70/1,598.49
  6. Step 6: Final answer
    x = 2,137.73

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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.