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Finding the Fourth Proportional to 2,459.84, 3,690.08 and 728.16

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Solution

The fourth proportional to 2,459.84, 3,690.08 and 728.16 is: 1,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.84 : 3,690.08 = 728.16 : x
  2. Step 2: Convert to fraction form
    2,459.84/3,690.08 = 728.16/x
  3. Step 3: Cross multiply
    2,459.84x = 3,690.08 × 728.16
  4. Step 4: Simplify right side
    2,459.84x = 2,686,968.65
  5. Step 5: Solve for x
    x = 2,686,968.65/2,459.84
  6. Step 6: Final answer
    x = 1,092.33

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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.