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Finding the Fourth Proportional to 1,530.09, 2,295.15 and 375.84

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Solution

The fourth proportional to 1,530.09, 2,295.15 and 375.84 is: 563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.09 : 2,295.15 = 375.84 : x
  2. Step 2: Convert to fraction form
    1,530.09/2,295.15 = 375.84/x
  3. Step 3: Cross multiply
    1,530.09x = 2,295.15 × 375.84
  4. Step 4: Simplify right side
    1,530.09x = 862,609.18
  5. Step 5: Solve for x
    x = 862,609.18/1,530.09
  6. Step 6: Final answer
    x = 563.76

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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.