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Finding the Fourth Proportional to 1,733.35, 2,394 and 1,263.35

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Solution

The fourth proportional to 1,733.35, 2,394 and 1,263.35 is: 1,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.35 : 2,394 = 1,263.35 : x
  2. Step 2: Convert to fraction form
    1,733.35/2,394 = 1,263.35/x
  3. Step 3: Cross multiply
    1,733.35x = 2,394 × 1,263.35
  4. Step 4: Simplify right side
    1,733.35x = 3,024,459.90
  5. Step 5: Solve for x
    x = 3,024,459.90/1,733.35
  6. Step 6: Final answer
    x = 1,744.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.