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Finding the Fourth Proportional to 1,875.92, 2,816.28 and 1,366.16

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Solution

The fourth proportional to 1,875.92, 2,816.28 and 1,366.16 is: 2,050.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.92 : 2,816.28 = 1,366.16 : x
  2. Step 2: Convert to fraction form
    1,875.92/2,816.28 = 1,366.16/x
  3. Step 3: Cross multiply
    1,875.92x = 2,816.28 × 1,366.16
  4. Step 4: Simplify right side
    1,875.92x = 3,847,489.08
  5. Step 5: Solve for x
    x = 3,847,489.08/1,875.92
  6. Step 6: Final answer
    x = 2,050.99

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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.