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Finding the Fourth Proportional to 1,596.54, 2,378.77 and 1,507.02

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Solution

The fourth proportional to 1,596.54, 2,378.77 and 1,507.02 is: 2,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.54 : 2,378.77 = 1,507.02 : x
  2. Step 2: Convert to fraction form
    1,596.54/2,378.77 = 1,507.02/x
  3. Step 3: Cross multiply
    1,596.54x = 2,378.77 × 1,507.02
  4. Step 4: Simplify right side
    1,596.54x = 3,584,841.28
  5. Step 5: Solve for x
    x = 3,584,841.28/1,596.54
  6. Step 6: Final answer
    x = 2,245.38

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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.