Home / 1,450.24-2,174.10-585.16

Finding the Fourth Proportional to 1,450.24, 2,174.10 and 585.16

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Solution

The fourth proportional to 1,450.24, 2,174.10 and 585.16 is: 877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.24 : 2,174.10 = 585.16 : x
  2. Step 2: Convert to fraction form
    1,450.24/2,174.10 = 585.16/x
  3. Step 3: Cross multiply
    1,450.24x = 2,174.10 × 585.16
  4. Step 4: Simplify right side
    1,450.24x = 1,272,196.36
  5. Step 5: Solve for x
    x = 1,272,196.36/1,450.24
  6. Step 6: Final answer
    x = 877.23

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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.