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Finding the Fourth Proportional to 2,430.02, 3,643.23 and 968.06

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Solution

The fourth proportional to 2,430.02, 3,643.23 and 968.06 is: 1,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.02 : 3,643.23 = 968.06 : x
  2. Step 2: Convert to fraction form
    2,430.02/3,643.23 = 968.06/x
  3. Step 3: Cross multiply
    2,430.02x = 3,643.23 × 968.06
  4. Step 4: Simplify right side
    2,430.02x = 3,526,865.23
  5. Step 5: Solve for x
    x = 3,526,865.23/2,430.02
  6. Step 6: Final answer
    x = 1,451.37

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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.