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Finding the Fourth Proportional to 2,430.82, 3,643.48 and 968.28

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Solution

The fourth proportional to 2,430.82, 3,643.48 and 968.28 is: 1,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.82 : 3,643.48 = 968.28 : x
  2. Step 2: Convert to fraction form
    2,430.82/3,643.48 = 968.28/x
  3. Step 3: Cross multiply
    2,430.82x = 3,643.48 × 968.28
  4. Step 4: Simplify right side
    2,430.82x = 3,527,908.81
  5. Step 5: Solve for x
    x = 3,527,908.81/2,430.82
  6. Step 6: Final answer
    x = 1,451.32

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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.