Home / 1,420.04-2,130.05-432.86

Finding the Fourth Proportional to 1,420.04, 2,130.05 and 432.86

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Solution

The fourth proportional to 1,420.04, 2,130.05 and 432.86 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.04 : 2,130.05 = 432.86 : x
  2. Step 2: Convert to fraction form
    1,420.04/2,130.05 = 432.86/x
  3. Step 3: Cross multiply
    1,420.04x = 2,130.05 × 432.86
  4. Step 4: Simplify right side
    1,420.04x = 922,003.87
  5. Step 5: Solve for x
    x = 922,003.87/1,420.04
  6. Step 6: Final answer
    x = 649.28

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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.