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Finding the Fourth Proportional to 4,681.64, 7,023.22 and 1,760.18

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Solution

The fourth proportional to 4,681.64, 7,023.22 and 1,760.18 is: 2,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.64 : 7,023.22 = 1,760.18 : x
  2. Step 2: Convert to fraction form
    4,681.64/7,023.22 = 1,760.18/x
  3. Step 3: Cross multiply
    4,681.64x = 7,023.22 × 1,760.18
  4. Step 4: Simplify right side
    4,681.64x = 12,362,131.38
  5. Step 5: Solve for x
    x = 12,362,131.38/4,681.64
  6. Step 6: Final answer
    x = 2,640.56

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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.