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Finding the Fourth Proportional to 2,484.84, 3,727.02 and 753.48

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Solution

The fourth proportional to 2,484.84, 3,727.02 and 753.48 is: 1,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.84 : 3,727.02 = 753.48 : x
  2. Step 2: Convert to fraction form
    2,484.84/3,727.02 = 753.48/x
  3. Step 3: Cross multiply
    2,484.84x = 3,727.02 × 753.48
  4. Step 4: Simplify right side
    2,484.84x = 2,808,235.03
  5. Step 5: Solve for x
    x = 2,808,235.03/2,484.84
  6. Step 6: Final answer
    x = 1,130.15

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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.