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Finding the Fourth Proportional to 2,088.86, 3,133.00 and 790.16

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Solution

The fourth proportional to 2,088.86, 3,133.00 and 790.16 is: 1,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.86 : 3,133.00 = 790.16 : x
  2. Step 2: Convert to fraction form
    2,088.86/3,133.00 = 790.16/x
  3. Step 3: Cross multiply
    2,088.86x = 3,133.00 × 790.16
  4. Step 4: Simplify right side
    2,088.86x = 2,475,553.64
  5. Step 5: Solve for x
    x = 2,475,553.64/2,088.86
  6. Step 6: Final answer
    x = 1,185.12

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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.