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Finding the Fourth Proportional to 2,498.34, 3,747.30 and 1,457.67

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Solution

The fourth proportional to 2,498.34, 3,747.30 and 1,457.67 is: 2,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.34 : 3,747.30 = 1,457.67 : x
  2. Step 2: Convert to fraction form
    2,498.34/3,747.30 = 1,457.67/x
  3. Step 3: Cross multiply
    2,498.34x = 3,747.30 × 1,457.67
  4. Step 4: Simplify right side
    2,498.34x = 5,462,326.79
  5. Step 5: Solve for x
    x = 5,462,326.79/2,498.34
  6. Step 6: Final answer
    x = 2,186.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.