Home / 1,688.48-2,533.32-823.28

Finding the Fourth Proportional to 1,688.48, 2,533.32 and 823.28

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Solution

The fourth proportional to 1,688.48, 2,533.32 and 823.28 is: 1,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.48 : 2,533.32 = 823.28 : x
  2. Step 2: Convert to fraction form
    1,688.48/2,533.32 = 823.28/x
  3. Step 3: Cross multiply
    1,688.48x = 2,533.32 × 823.28
  4. Step 4: Simplify right side
    1,688.48x = 2,085,631.69
  5. Step 5: Solve for x
    x = 2,085,631.69/1,688.48
  6. Step 6: Final answer
    x = 1,235.21

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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.