Home / 1,831.70-2,746.75-533.14

Finding the Fourth Proportional to 1,831.70, 2,746.75 and 533.14

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Solution

The fourth proportional to 1,831.70, 2,746.75 and 533.14 is: 799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.70 : 2,746.75 = 533.14 : x
  2. Step 2: Convert to fraction form
    1,831.70/2,746.75 = 533.14/x
  3. Step 3: Cross multiply
    1,831.70x = 2,746.75 × 533.14
  4. Step 4: Simplify right side
    1,831.70x = 1,464,402.30
  5. Step 5: Solve for x
    x = 1,464,402.30/1,831.70
  6. Step 6: Final answer
    x = 799.48

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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.