Home / 1,525.44-2,285.73-977.18

Finding the Fourth Proportional to 1,525.44, 2,285.73 and 977.18

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Solution

The fourth proportional to 1,525.44, 2,285.73 and 977.18 is: 1,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.44 : 2,285.73 = 977.18 : x
  2. Step 2: Convert to fraction form
    1,525.44/2,285.73 = 977.18/x
  3. Step 3: Cross multiply
    1,525.44x = 2,285.73 × 977.18
  4. Step 4: Simplify right side
    1,525.44x = 2,233,558.21
  5. Step 5: Solve for x
    x = 2,233,558.21/1,525.44
  6. Step 6: Final answer
    x = 1,464.20

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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.