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Finding the Fourth Proportional to 1,528.84, 2,109.77 and 865.72

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Solution

The fourth proportional to 1,528.84, 2,109.77 and 865.72 is: 1,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.84 : 2,109.77 = 865.72 : x
  2. Step 2: Convert to fraction form
    1,528.84/2,109.77 = 865.72/x
  3. Step 3: Cross multiply
    1,528.84x = 2,109.77 × 865.72
  4. Step 4: Simplify right side
    1,528.84x = 1,826,465.76
  5. Step 5: Solve for x
    x = 1,826,465.76/1,528.84
  6. Step 6: Final answer
    x = 1,194.67

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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.