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Finding the Fourth Proportional to 1,500.26, 2,069.78 and 910.58

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Solution

The fourth proportional to 1,500.26, 2,069.78 and 910.58 is: 1,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.26 : 2,069.78 = 910.58 : x
  2. Step 2: Convert to fraction form
    1,500.26/2,069.78 = 910.58/x
  3. Step 3: Cross multiply
    1,500.26x = 2,069.78 × 910.58
  4. Step 4: Simplify right side
    1,500.26x = 1,884,685.37
  5. Step 5: Solve for x
    x = 1,884,685.37/1,500.26
  6. Step 6: Final answer
    x = 1,256.24

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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.