Home / 1,544.08-2,317.20-997.60

Finding the Fourth Proportional to 1,544.08, 2,317.20 and 997.60

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Solution

The fourth proportional to 1,544.08, 2,317.20 and 997.60 is: 1,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.08 : 2,317.20 = 997.60 : x
  2. Step 2: Convert to fraction form
    1,544.08/2,317.20 = 997.60/x
  3. Step 3: Cross multiply
    1,544.08x = 2,317.20 × 997.60
  4. Step 4: Simplify right side
    1,544.08x = 2,311,638.72
  5. Step 5: Solve for x
    x = 2,311,638.72/1,544.08
  6. Step 6: Final answer
    x = 1,497.10

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1.5x scale

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.