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Finding the Fourth Proportional to 1,529.57, 2,293.68 and 836.48

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Solution

The fourth proportional to 1,529.57, 2,293.68 and 836.48 is: 1,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.57 : 2,293.68 = 836.48 : x
  2. Step 2: Convert to fraction form
    1,529.57/2,293.68 = 836.48/x
  3. Step 3: Cross multiply
    1,529.57x = 2,293.68 × 836.48
  4. Step 4: Simplify right side
    1,529.57x = 1,918,617.45
  5. Step 5: Solve for x
    x = 1,918,617.45/1,529.57
  6. Step 6: Final answer
    x = 1,254.35

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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.