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Finding the Fourth Proportional to 1,856.84, 2,563.74 and 1,267.16

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Solution

The fourth proportional to 1,856.84, 2,563.74 and 1,267.16 is: 1,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.84 : 2,563.74 = 1,267.16 : x
  2. Step 2: Convert to fraction form
    1,856.84/2,563.74 = 1,267.16/x
  3. Step 3: Cross multiply
    1,856.84x = 2,563.74 × 1,267.16
  4. Step 4: Simplify right side
    1,856.84x = 3,248,668.78
  5. Step 5: Solve for x
    x = 3,248,668.78/1,856.84
  6. Step 6: Final answer
    x = 1,749.57

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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.