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Finding the Fourth Proportional to 1,597.07, 2,395.27 and 1,133.55

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Solution

The fourth proportional to 1,597.07, 2,395.27 and 1,133.55 is: 1,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.07 : 2,395.27 = 1,133.55 : x
  2. Step 2: Convert to fraction form
    1,597.07/2,395.27 = 1,133.55/x
  3. Step 3: Cross multiply
    1,597.07x = 2,395.27 × 1,133.55
  4. Step 4: Simplify right side
    1,597.07x = 2,715,158.31
  5. Step 5: Solve for x
    x = 2,715,158.31/1,597.07
  6. Step 6: Final answer
    x = 1,700.09

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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.