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Finding the Fourth Proportional to 1,596.10, 2,393.17 and 621.07

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Solution

The fourth proportional to 1,596.10, 2,393.17 and 621.07 is: 931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.10 : 2,393.17 = 621.07 : x
  2. Step 2: Convert to fraction form
    1,596.10/2,393.17 = 621.07/x
  3. Step 3: Cross multiply
    1,596.10x = 2,393.17 × 621.07
  4. Step 4: Simplify right side
    1,596.10x = 1,486,314.13
  5. Step 5: Solve for x
    x = 1,486,314.13/1,596.10
  6. Step 6: Final answer
    x = 931.22

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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.