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Finding the Fourth Proportional to 2,690.16, 4,035.12 and 1,866

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Solution

The fourth proportional to 2,690.16, 4,035.12 and 1,866 is: 2,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.16 : 4,035.12 = 1,866 : x
  2. Step 2: Convert to fraction form
    2,690.16/4,035.12 = 1,866/x
  3. Step 3: Cross multiply
    2,690.16x = 4,035.12 × 1,866
  4. Step 4: Simplify right side
    2,690.16x = 7,529,533.92
  5. Step 5: Solve for x
    x = 7,529,533.92/2,690.16
  6. Step 6: Final answer
    x = 2,798.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.