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Finding the Fourth Proportional to 1,530.38, 2,295.57 and 376.13

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Solution

The fourth proportional to 1,530.38, 2,295.57 and 376.13 is: 564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.38 : 2,295.57 = 376.13 : x
  2. Step 2: Convert to fraction form
    1,530.38/2,295.57 = 376.13/x
  3. Step 3: Cross multiply
    1,530.38x = 2,295.57 × 376.13
  4. Step 4: Simplify right side
    1,530.38x = 863,421.27
  5. Step 5: Solve for x
    x = 863,421.27/1,530.38
  6. Step 6: Final answer
    x = 564.19

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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.