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Finding the Fourth Proportional to 2,457.78, 3,661.78 and 2,333.84

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Solution

The fourth proportional to 2,457.78, 3,661.78 and 2,333.84 is: 3,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.78 : 3,661.78 = 2,333.84 : x
  2. Step 2: Convert to fraction form
    2,457.78/3,661.78 = 2,333.84/x
  3. Step 3: Cross multiply
    2,457.78x = 3,661.78 × 2,333.84
  4. Step 4: Simplify right side
    2,457.78x = 8,546,008.64
  5. Step 5: Solve for x
    x = 8,546,008.64/2,457.78
  6. Step 6: Final answer
    x = 3,477.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.