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Finding the Fourth Proportional to 1,528.69, 2,109.60 and 830.07

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Solution

The fourth proportional to 1,528.69, 2,109.60 and 830.07 is: 1,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.69 : 2,109.60 = 830.07 : x
  2. Step 2: Convert to fraction form
    1,528.69/2,109.60 = 830.07/x
  3. Step 3: Cross multiply
    1,528.69x = 2,109.60 × 830.07
  4. Step 4: Simplify right side
    1,528.69x = 1,751,105.12
  5. Step 5: Solve for x
    x = 1,751,105.12/1,528.69
  6. Step 6: Final answer
    x = 1,145.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.