Home / 1,563.76-2,157.24-974.98

Finding the Fourth Proportional to 1,563.76, 2,157.24 and 974.98

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Solution

The fourth proportional to 1,563.76, 2,157.24 and 974.98 is: 1,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.76 : 2,157.24 = 974.98 : x
  2. Step 2: Convert to fraction form
    1,563.76/2,157.24 = 974.98/x
  3. Step 3: Cross multiply
    1,563.76x = 2,157.24 × 974.98
  4. Step 4: Simplify right side
    1,563.76x = 2,103,265.86
  5. Step 5: Solve for x
    x = 2,103,265.86/1,563.76
  6. Step 6: Final answer
    x = 1,345.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.