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Finding the Fourth Proportional to 1,852.84, 2,558.22 and 1,263.16

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Solution

The fourth proportional to 1,852.84, 2,558.22 and 1,263.16 is: 1,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.84 : 2,558.22 = 1,263.16 : x
  2. Step 2: Convert to fraction form
    1,852.84/2,558.22 = 1,263.16/x
  3. Step 3: Cross multiply
    1,852.84x = 2,558.22 × 1,263.16
  4. Step 4: Simplify right side
    1,852.84x = 3,231,441.18
  5. Step 5: Solve for x
    x = 3,231,441.18/1,852.84
  6. Step 6: Final answer
    x = 1,744.05

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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.