Home / 1,707.10-2,558.67-977.17

Finding the Fourth Proportional to 1,707.10, 2,558.67 and 977.17

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Solution

The fourth proportional to 1,707.10, 2,558.67 and 977.17 is: 1,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.10 : 2,558.67 = 977.17 : x
  2. Step 2: Convert to fraction form
    1,707.10/2,558.67 = 977.17/x
  3. Step 3: Cross multiply
    1,707.10x = 2,558.67 × 977.17
  4. Step 4: Simplify right side
    1,707.10x = 2,500,255.56
  5. Step 5: Solve for x
    x = 2,500,255.56/1,707.10
  6. Step 6: Final answer
    x = 1,464.62

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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.