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Finding the Fourth Proportional to 1,530.84, 2,296.27 and 376.59

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Solution

The fourth proportional to 1,530.84, 2,296.27 and 376.59 is: 564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.84 : 2,296.27 = 376.59 : x
  2. Step 2: Convert to fraction form
    1,530.84/2,296.27 = 376.59/x
  3. Step 3: Cross multiply
    1,530.84x = 2,296.27 × 376.59
  4. Step 4: Simplify right side
    1,530.84x = 864,761.40
  5. Step 5: Solve for x
    x = 864,761.40/1,530.84
  6. Step 6: Final answer
    x = 564.89

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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.