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Finding the Fourth Proportional to 1,853.57, 2,560.05 and 1,263.08

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Solution

The fourth proportional to 1,853.57, 2,560.05 and 1,263.08 is: 1,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.57 : 2,560.05 = 1,263.08 : x
  2. Step 2: Convert to fraction form
    1,853.57/2,560.05 = 1,263.08/x
  3. Step 3: Cross multiply
    1,853.57x = 2,560.05 × 1,263.08
  4. Step 4: Simplify right side
    1,853.57x = 3,233,554.35
  5. Step 5: Solve for x
    x = 3,233,554.35/1,853.57
  6. Step 6: Final answer
    x = 1,744.50

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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.