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Finding the Fourth Proportional to 2,354.98, 3,529.13 and 1,733.81

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Solution

The fourth proportional to 2,354.98, 3,529.13 and 1,733.81 is: 2,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.98 : 3,529.13 = 1,733.81 : x
  2. Step 2: Convert to fraction form
    2,354.98/3,529.13 = 1,733.81/x
  3. Step 3: Cross multiply
    2,354.98x = 3,529.13 × 1,733.81
  4. Step 4: Simplify right side
    2,354.98x = 6,118,849.22
  5. Step 5: Solve for x
    x = 6,118,849.22/2,354.98
  6. Step 6: Final answer
    x = 2,598.26

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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.