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Finding the Fourth Proportional to 2,333.58, 3,502.07 and 1,457.36

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Solution

The fourth proportional to 2,333.58, 3,502.07 and 1,457.36 is: 2,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.58 : 3,502.07 = 1,457.36 : x
  2. Step 2: Convert to fraction form
    2,333.58/3,502.07 = 1,457.36/x
  3. Step 3: Cross multiply
    2,333.58x = 3,502.07 × 1,457.36
  4. Step 4: Simplify right side
    2,333.58x = 5,103,770.54
  5. Step 5: Solve for x
    x = 5,103,770.54/2,333.58
  6. Step 6: Final answer
    x = 2,187.10

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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.