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Finding the Fourth Proportional to 1,856.35, 2,767.47 and 1,768.87

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Solution

The fourth proportional to 1,856.35, 2,767.47 and 1,768.87 is: 2,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.35 : 2,767.47 = 1,768.87 : x
  2. Step 2: Convert to fraction form
    1,856.35/2,767.47 = 1,768.87/x
  3. Step 3: Cross multiply
    1,856.35x = 2,767.47 × 1,768.87
  4. Step 4: Simplify right side
    1,856.35x = 4,895,291.48
  5. Step 5: Solve for x
    x = 4,895,291.48/1,856.35
  6. Step 6: Final answer
    x = 2,637.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.