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Finding the Fourth Proportional to 1,528.40, 2,108.93 and 865.14

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Solution

The fourth proportional to 1,528.40, 2,108.93 and 865.14 is: 1,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.40 : 2,108.93 = 865.14 : x
  2. Step 2: Convert to fraction form
    1,528.40/2,108.93 = 865.14/x
  3. Step 3: Cross multiply
    1,528.40x = 2,108.93 × 865.14
  4. Step 4: Simplify right side
    1,528.40x = 1,824,515.37
  5. Step 5: Solve for x
    x = 1,824,515.37/1,528.40
  6. Step 6: Final answer
    x = 1,193.75

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Why These Related Problems?

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