Home / 1,984.16-2,976.24-597.50

Finding the Fourth Proportional to 1,984.16, 2,976.24 and 597.50

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Solution

The fourth proportional to 1,984.16, 2,976.24 and 597.50 is: 896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.16 : 2,976.24 = 597.50 : x
  2. Step 2: Convert to fraction form
    1,984.16/2,976.24 = 597.50/x
  3. Step 3: Cross multiply
    1,984.16x = 2,976.24 × 597.50
  4. Step 4: Simplify right side
    1,984.16x = 1,778,313.08
  5. Step 5: Solve for x
    x = 1,778,313.08/1,984.16
  6. Step 6: Final answer
    x = 896.26

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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.