Home / 1,529.12-2,289.96-746.48

Finding the Fourth Proportional to 1,529.12, 2,289.96 and 746.48

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Solution

The fourth proportional to 1,529.12, 2,289.96 and 746.48 is: 1,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.12 : 2,289.96 = 746.48 : x
  2. Step 2: Convert to fraction form
    1,529.12/2,289.96 = 746.48/x
  3. Step 3: Cross multiply
    1,529.12x = 2,289.96 × 746.48
  4. Step 4: Simplify right side
    1,529.12x = 1,709,409.34
  5. Step 5: Solve for x
    x = 1,709,409.34/1,529.12
  6. Step 6: Final answer
    x = 1,117.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.