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Finding the Fourth Proportional to 2,457.80, 3,681.90 and 1,680.20

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Solution

The fourth proportional to 2,457.80, 3,681.90 and 1,680.20 is: 2,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.80 : 3,681.90 = 1,680.20 : x
  2. Step 2: Convert to fraction form
    2,457.80/3,681.90 = 1,680.20/x
  3. Step 3: Cross multiply
    2,457.80x = 3,681.90 × 1,680.20
  4. Step 4: Simplify right side
    2,457.80x = 6,186,328.38
  5. Step 5: Solve for x
    x = 6,186,328.38/2,457.80
  6. Step 6: Final answer
    x = 2,517.02

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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.