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Finding the Fourth Proportional to 1,596.11, 2,395.69 and 981.02

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Solution

The fourth proportional to 1,596.11, 2,395.69 and 981.02 is: 1,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.11 : 2,395.69 = 981.02 : x
  2. Step 2: Convert to fraction form
    1,596.11/2,395.69 = 981.02/x
  3. Step 3: Cross multiply
    1,596.11x = 2,395.69 × 981.02
  4. Step 4: Simplify right side
    1,596.11x = 2,350,223.34
  5. Step 5: Solve for x
    x = 2,350,223.34/1,596.11
  6. Step 6: Final answer
    x = 1,472.47

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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.