Home / 1,456.16-2,184.32-430.24

Finding the Fourth Proportional to 1,456.16, 2,184.32 and 430.24

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Solution

The fourth proportional to 1,456.16, 2,184.32 and 430.24 is: 645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.16 : 2,184.32 = 430.24 : x
  2. Step 2: Convert to fraction form
    1,456.16/2,184.32 = 430.24/x
  3. Step 3: Cross multiply
    1,456.16x = 2,184.32 × 430.24
  4. Step 4: Simplify right side
    1,456.16x = 939,781.84
  5. Step 5: Solve for x
    x = 939,781.84/1,456.16
  6. Step 6: Final answer
    x = 645.38

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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.